prove sinA*cos2A=1/4sin4A*secA

Answers

Answer 1

Answer:

The prove is below

Explanation:

From trigonometric identities:

[tex]cos2A=cos(A+A)=cos^2A-sin^2A\\sin2A=sin(A+A)=2sinAcosA\\sin4A=sin(2A+2A)=2sin2Acos2A=2(2sinAcosA)(cos^2A-sin^2A)=4sinAcos^3A-4cosAsin^3A\\secA=\frac{1}{cosA}[/tex]

Therefore:

[tex]\frac{1}{4}sin4AsecA = \frac{1}{4}( 4sinAcos^3A-4cosAsin^3A)\frac{1}{cosA}\\= sinAcos^3A-cosAsin^3A(\frac{1}{cosA} )\\=sinAcos^2-sin^3A\\=sinA(cos^2A-sin^2A)\\But\ cos^2A-sin^2A=cos2A\\Therefore:sinA(cos^2A-sin^2A)=sinAcos2A\\\frac{1}{4}sin^4Acos2A=sinAcos2A[/tex]


Related Questions

The tissue which lines moveable joints is _______.
a. tendons
b. cartilage
c. ligaments

Answers

Answer:

b. cartilage

Explanation:

B) Cartilage is the tissue which lines movable joints

Approximately what percentage of calories do obese adolescents obtain from fast food?

10.1
16.4
8.8
18.6

Answers

Answer:

8.8

Explanation:

i take the test

Answer:

18.6                                                                                                                                        

Took the test, I hope its right! Enjoy!

Explanation:

ASAP Which is a personal risk factor for wanting to join a gang? a) receiving poor grades in school b) having a family member in a gang c) hearing others discuss being in a gang d) feeling isolated from the popular in-crowd

Answers

Answer:

B.)

Explanation:

The other ones i wouldn't say they are personal, but famil kinda is

Answer:

D

Explanation:

Magali’s doctor tells her the decongestant she has been taking for her cold has affected her blood pressure. What explains the relationship between this type of medicine and hypertension?

Answers

Answer:

Explanation: Hypertension is when your heart is working hard to pump blood to throughout the body. In other words the heart is strained and over worked. The higher blood pleasure causes the heart to be stressed having to work harder to pump blood. Hypertension could also cause a heart attack because the heart is strained. Sorry for repetition.

Answer:

A

Explanation:

it says its correct

How do I take the ketofast weight loss pills? do I open up the capsule and put it in water or do i take it as a regular pill?

Answers

Answer:

You need a dose around half an hour before a meal. Make sure you do not overlook your photogenic diet and exercise though. Some other pills should be taken first thing in the morning, with the breakfast.

Explanation:Is this what u mean?

e. make a list of aspects which are inter-
related to health, population and Environ
ment Education, and explain any two of
them​

Answers

Answer:

the natural physical aspects and man made things come under the physical aspects man produces different physical things to satisfy his/her needs and wants

Explanation:

The list of aspects which are inter-related to health, population and environment education are:-

a. Physical Aspect-It covers all the non-living things found in the environment    both natural and man-made.

b. Biological Aspect-It includes all the living beings or biotic aspect of the environment.

c. Economic Aspect

d. Political Aspect

e. Psychological Aspect etc.

Nutritional requirements for the food in the school cafeteria are designed to

Answers

Answer:

To offer students the right balance of fruits, vegetables, low-fat or fat-free milk, whole grains and lean protein with every meal.

Explanation:

School meal standards help schools promote a positive food environment and establish a foundation for a lifetime of healthy behaviors.

Which of the following would best help you choose a hand sanitizer?
A. Select the least expensive option.
B. Visit online forums.
C. Visit product websites.
D. Read scientific studies.

Answers

Answer:

D

Explanation:

Id you drop me I'm sure to crack, but give me a smile and I'll always smile back. what an me I?​

Answers

Answer:

A mirror

Explanation:

Answer: A mirror

Explanation: It just makes sense

Which changes occur in females during puberty? Select three options.

Answers

Answer:

Im pretty sure it is The hips widen, The cl1toris and vulva grow, and brest buds appear, and brest grow.

Explanation:

hips widen so that a baby could potentially pass through, The cl1toris and vulva grow with the rest of your body and brest buds appear, and brest grow due to female hormones that are produced more and more as a female goes through puberty.

Answer:

The hips widen.The voice deepens.The cl1toris and vulva grow.Facial hair begins growing.brest buds appear, and brest grow

Explanation:

help me please,
for science

Answers

Answer:

involuntary muscles, breathing, heartbeat, sweating, digestion

Explanation:

they all happen subconsciously

What percentage of deaths for all ages is caused by heart disease and cancer?
elected

Answers

Answer:

8% lower than 24%percent

the answer is 8% lower than 24 %

if i wanted to workout what would be the best full body workout in the morning?

Answers

Answer:

There is 2 sides to doing a full body workout in the morning. One would be that it would be the best because it would wake you and ur body up and make you ready for your day and feel more energetic and more accomplished. However the other side is no because it does have the risk of you possibly of you getting a injury because you might do the workout before having something to eat which might make you feel sick and could have the possibility of you tear or pulling a ligament if you don't stretch.

According to this passage, what are some common effects of child sexual abuse on adult survivors?

Answers

Answer: having low self-esteem

Experiencing extreme depression being involved in abusive relationships and having sleep disturbances and nightmares

Explanation:

Just took the test hope this helps :)

PLEASE ANSWER QUICKLY: Which changes occur in females during puberty? Acne clears up. The hips narrow. Underarm hair grows. Body hair thickens.

Answers

Breasts grow, periods start, growth spurts, sweating more and weight gain. I’m pretty sure there’s more. But that’s all I can think of

Which details from the text support the central idea of
the passage? Check all that apply.
Stress. It's a part of life, no matter who you are, where
you live, or how old you are. Stress has a nasty reputation
for being something people should avoid at all cost
because of how-you guessed it-stressful it is. However,
stress is not necessarily negative at all. People often use it
as the springboard for achieving more. Many find that
stress motivates, energizes, and inspires them to work
harder or faster. Unfortunately, stress frequently ends up
being an unpleasant event for people.
“Bullying and Stress"
"It's a part of life"
"Stress has a nasty reputation"
o "avoid at all costs"
"stress is not necessarily negative"
"the springboard for achieving more"
"stress motivates, energizes, and inspires"
"stress. ends up an unpleasant event"

Answers

Answer:

"stress is not necessarily negative"

"the springboard for achieving more"

"stress motivates, energizes, and inspires"

"stress. ends up an unpleasant event"

Explanation:

The central idea of the passage is that, despite its bad reputation, stress can have both positive and negative effects.

The parts of the text that sustain that idea claim that, although it can be disturbing, stress can also lend impetus to greater achievements, because it stimulates action, as well as it provides higher energy and inspiration.  

Stress is a situation where the person is mentally exerted because of some emotional, physical or social concerns. The person experiencing stress is not able to deal with the rational or the emotional state he is in.

The correct options are:

"Stress is not necessarily negative"

"the springboard for achieving more"

"stress motivates, energizes, and inspires"

"stress ends up an unpleasant event"

The explanation for the correct answer is:

Stress can be helpful or bad. Good stress inspires and motivates the person to collect and concentrate his energy to overcome his issue.

Bad stress exhausts the person and leaves the person tensed. It can be harmful to health.

Stress can be positively shaped into a bundle of energy to achieve your goal and to end the unpleasant feeling of worry.

Therefore, stress can be positive and can act as a motivation to channelize your energy.

To learn more about stress follow the given link:

https://brainly.com/question/25177723

A doctor has told Frida she must engage in physical activities to improve her heart health and minimize the chance of injury. Which of the following is best for her to try?

Answers

Answer:

there are no options but read below

Explanation:

cardio

yoga

running

jogging

aerobics

Which agency regulates food safety and labeling?

Food and Drug Administration
Centers for Disease Control and Prevention
Occupational Safety and Health Administration
Environmental Protection Agency

Answers

Food and Drug Administration. Have a good day! :)

Answer:

Food and Drug Administration

Explanation:

edge 2021!

Which behaviors would be classified as unhealthy eating choices? Check all that apply

Answers

Answer:

b,c,e

Explanation:

The choices were:

sitting at the dinner table to eat food

eating dinner while watching television

eating fast food for dinner five times per week

limiting the purchase of prepackaged foods

drinking sweetened beverages with every meal

and b,c,e worked for me

Write 300-500 words about, seven benefits of body weight exercises. Explain how you located resources & name the cites you used to learn new exercises. Describe where you worked out & what that experience was like without classmates or a teacher. Write about how daily exercise helped improve your health and mood. Finally share 10 of your favorite body weight exercises and explain what body parts & muscles they target.
Please help me I need this ASAP.

Answers

Answer:

Kindly check Explanation

Explanation:

Benefits of body weight Exercises :

1.) Burning of calories : Body weight exercises helps burns excess body calories and fat in the human body. These excess fat are needed to be expunged in other to maintain good health.

2.) Maintain good health: Body weight exercises helps us maintain a good level of health. An individual's health may be under threat as a result of excess fat or calorie. Such health problem include obesity and other associated health defects. Body weight exercises helps burn this excess fat.

3.) Good fitness: Body weight exercises helps keep the body in good shape. It ensures that individual's who indulge in exercises posses a good level of fitness and ensures that one is able to control and carry one's body weight.

4.) Ability to workout anytime : Bodyweught exercises can be performed without visiting a gym. It could be done in one's bedroom at anytime one wishes. These offers flexibility and convenience.

5.) Less Equipment : The equipment required for these exercises are very easy to get in terms of cost and it could also be performed without equipment.

6.) Efficiency: These exercises have a lot of impact on our body parts and with various body weight exercises, it can touch almost all parts of one's joint and muscles.

7.) Cheap: Body weight exercises are very good and affordable alternative to machine exercises which either require a gym subscription or purchasing high end equipments.

Sites used to learn new exercises:

For me, you tube, runnersworld.com and viewing soccer team trainings has been my goto options for learning new exercises, there are a lot of channels to choose from.

I perform my body weight exercise usually in my bedroom, since what I do mostly is to flex my joints and muscles, there are no equipment ts of note, but I follow routine exercises usually those employed by football players. Exercising without classmate or teachers may seem a bit difficult at the start usually due to lack of motivation, however, with the right amount od perseverance, things change gradually.

Exercises really helps me in cognition such as maintaining focus and fighting psychological disrurbance. It really helps improve my mood.

10 body weight exercises:

1.push ups : The arm muscles, chest and back

2. Single - leg Bridge - the lower back region

3. Air squat - The laps, knee joint

4.Single - leg balance - the hip region

5.) shoulder - bridge - the shoulder and arm muscles, the back

6.) Abdominal exercises : The stomach

7.) Mountain climber - the knee joint.

8.) side twist - the arm and neck muscles

9.) bicycle crunch : neck and arm muscles and the neck.

10.) shoulder bridge : The back muscles

ITS ONLY ONE ANSWER PLZ HELP ME Which short-term environmental change would a very small asteroid or comet impact on Earth most likely cause? A.flooding B.extinction C.surface craters D.weather pattern changes

Answers

Answer:

The correct answer is

C. Surface craters

The crater is not large enough to cause any permanent damage such as flooding, extinction for weather patterns. Since it is falling from the sky at such a great velocity it will of course leave a little "dent" in earths surface. This is short term because overtime the crater will fill in an become flat ground.

Hope this helps!

- Quinn

Answer:

C surface craters

Explanation:

This makes sense because small asteroids have hit earth before and caused this damage.

How does personality affect a person's response to stress?

Answers

Answer:

Some people experience personality changes in response to stress hormones, which are part of their internal environment. The following changes in personality are not uncommon to observe in people who are stressed: Irritability. Hostility. Frustration. Anger. Aggressive feelings and behavior. Decreased interest in appearance.

I hope this helped :)

Identify safety preparations that are common when exercising in extreme cold or extreme heat?

Answers

Explanation:

response will vary. a sample response follows : when exercising in the extreme cold, it is very important the wear long pants, long sleeves shirts , and a head covering. compare and contrast heat exhaustion and heat stroke.

Answer:

When you are in the cold, it is important to stay warm by wearing very warm clothe. When you are in the heat, it is important to wear proper clothing like sweat absorbent shirts. It's also important you stay hydrated by drinking a lot of water.

Explanation:

Write a four-digit whole number that is divisible by 2. Use a divisibility rule and explain how you know that your number is divisible by 2.

Answers

Answer:

4894

Explanation:

I know that it is divisible by 2, because it is an even number, and also the one's digit has 4, which is divisible by 2.

Answer:

Number: 2468

Explanation:

Any number that is even is divisible by 2.

​For example, 6, 128, 332, 4, and 2468 are divisible by 2 because they are all even.

What is the significance of a person in having a low resting heart rate?

Answers

Answer: For some people a low resting heart rate is fine.

Explanation: Usually this means they are fit and conditioned, allowing for their heart rate to be lower than normal. In other people, bradycardia is a sign of a problem with the heart's electrical system.

I dont know if this helped, im sorry!

what does GRAS represent? (health)

Answers

Answer:

It means Generally Recognized As Safe, hopefully this helps!

Answer: GRAS" is an acronym for the phrase Generally Recognized As Safe.

Explanation: This is correct

According to the dietary guidelines for Americans which food should you increase and decrease with your diet? Sort each food into the appropriate category. Options:Bacon salty snacks salmon wheat bread vegetables sugary drinks

Answers

Answer:

Bacon: decrease

salty snacks: decrease

salmon: increase

wheat bread: decrease

vegetables: increase

sugary drinks: decrease

Explanation:

The dietary guidelines for Americans is a document that was created by experts in nutrition to guide people on how to eat healthier. These guidelines indicate that people should eat a lot of vegetables, whole grains instead of grains, include different proteins like seafood, avoid food with added sugar and saturated and trans fat and eat food that is low on salt. According to that, you should decrease the consumption of bacon as it is high on fat, salty snacks as they are high on sodium, wheat bread as you should limit the amount of grains and eat whole grains and sugary drinks as they have added sugar.

On the other side, you should increase the consumption of salmon as it is a protein and vegetables as they are healthy.

1. what role do municipal governments often play in facility management


A. Selling tickets

B. Partially funding facility construction

C. Ensuring patron safety

D. Providing event security


2. What is the job title of the person responsible for managing a venue?


A. General Manager

B. Venue owner

C. Facility Manager

D. Grounds crew


3. What is the main source of profit for venues hosting special events?


A. Stadium rental fees

B. Seat licensing fees

C. Ticket sales

D. Advertising revenues

Answers

The correct answers to these questions are the following.

1) C) Ensuring patron safety

The role that municipal governments often play in facility management is ensuring patron safety, forcing the venue and the show promoters to hire security companies, police, and specialized people that can control audiences, as well as performing the right kind of operation management inside and outside the venue.

2. C) Facility Manager

The job title of the person responsible for managing a venue is "Facility Manager." He is in charge of the venue and has to maintain permanent communication with the promoter and the security people to correctly operate the event.

3. A) Stadium rental fees.

The main source of profit for venues hosting special events is the stadium rental fees. The venue charges a fee for the rental of the arena, auditorium or stadium. The promoter has to pay this rent, and the promoter keeps the money from the ticket sales.

why is resilience important

Answers

Answer:

As we all know, when we are in a weakened position where we feel as if things are going from bad to worse, it can be very difficult to find our balance, or swim against the tide, or, recover and regain stability.

Resilience is important for several reasons; it enables us to develop mechanisms for protection against experiences which could be overwhelming, it helps us to maintain balance in our lives during difficult or stressful periods, and can also protect us from the development of some mental health difficulties and issues. Some of the various benefits of becoming more resilient are listed below.

Improved learning and academic achievement.

Lower absences from work or study due to sickness.

Reduced use of risk-taking behaviours such as excessive drinking, smoking or use of drugs.

Increased involvement in community or family activities.

A lower rate of mortality and increased physical health.

Answer:

Resilience is important for several reasons; it enables us to develop mechanisms for protection against experiences which could be overwhelming, it helps us to maintain balance in our lives during difficult or stressful periods, and can also protect us from the development of some mental health difficulties and issues

Explanation:

What is one of the symptoms symptoms of heat stroke

Answers

Explanation:

headache

dizziness

rapid pulse

temp. of 38°c or above

Answer:

confusion i  believe is one

Explanation:

Other Questions
AC is included between1AcO A. ZA and ZCO B. ZA and ZBO C. AB and BCO D. BC and AC Please help!there were 6000 people at a football match10% of them left 2 minutes before the end of the game to avoid traffic50% of the rest left as soon as the match endeda) how many people in total had left the football match when it ended?b) what percentage of the original crowd was still there? Plzzzzzz answer fast I need help In his Gettysburg Address, Lincoln said that the war was fought so that "Government of the people, by the people, for the people shall not perish from the Earth." How does this statement reflect the ideals of equality, liberty, and unity of the Founding Fathers? Write a summary of what you learned about the Civil War. Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!! A cone has a radius of 9 cm and a height of 10 cm . The volume of the cone is___ cm3 . Which graph could represent the price of a fence selling at a unit rate of R dollars per foot? What would asthma attack lead to?!Alkalosis or acidosis?Why? Many schools have begun drug testing programs for their athletes and other members of the student body. Do you agree or disagree with drug testing in schools? Give at least two reasons to support your position. Which of the following statements is FALSE? a.In 1861 Unionists felt that the Texas Secession Convention votes were illegal and therefore did not vote. b.Secessionists in Texas often intimidated Unionists into not voting against secession. c.Even after the vote for secession by the delegates at the Texas Secession Convention in 1861, the people of Texas were called upon to vote. d.It took several votes in Texas to get a legitimate count of who favored secession and who did not because many elections erupted in violence. iv. The lift raises a car of mass 850 kg to a height of 2.1 m. It uses a force of 8330 N and takes 4 seconds to raise the car. What is the power of the lift? (1 point) Find the nominal annual rate of interest compounded monthly if $1200 accumulates to $1618.62 in five years. In the compound Fe2O3, iron's oxidation number is +3, and oxygen's oxidationnumber isAnswer here what is the surface area of cylinder with base radius 4 and height 7? either enter an exact answer in term of pi or use for 3.14 for pi and enter your answer as a decimal Avantraveling 20 miles per hour can stop in 60 feet. If a van is traveling 32 miles per hour what is its stopping distance What was the seven year war about? What were the Causes and effects A card is drawn at random from a standard pack of 52 playing cards. What is the probability of drawing a number greater than 5 to determine the inverse of the given function change f(x) to y switch and y and solve for what is the sign of Mercury