Answer:
We want to prove the relation:
cosec(a)^2 - cot(a)^2 = 1
where:
cosec(a) = 1/sin(a)
cot(a) = 1/tg(a) = cos(a)/sin(a)
We can start with the relationship:
cos(a)^2 + sin(a)^2 = 1
Now, let's divide by sin(a)^2 in both sides:
(cos(a)^2 + sin(a)^2)/sin(a)^2 = 1/sin(a)^2
cos(a)^2/sin(a)^2 + sin(a)^2/sin(a)^2 = (1/sin(a))^2
(cos(a)/sin(a))^2 + 1 = (1/sin(a))^2
and remember that:
cosec(a) = 1/sin(a)
cot(a) = 1/tg(a) = cos(a)/sin(a)
Then we can write:
(cos(a)/sin(a))^2 + 1 = (1/sin(a))^2
as:
cot(a)^2 + 1 = cosec(a)^2
1 = cosec(a)^2 - cot(a)^2
And this is the relation we wanted to prove.
PLEASE HELP ME I AM SO CONFUSED!!
evaluate the limit of
[tex] \sqrt{x - 1} [/tex]
approaches to
[tex] {1}^{ - } [/tex]
Answer:
sorry homie im bad at math but download conects
Step-by-step explanation:
i just cheat my way through life
The surface area of the pyramid is
square inches.
fill in the blank
Answer:
9360 square inches
Step-by-step explanation:
Which equation represents the standard form for linear equations?
A y= 5x – 2
B. 3x – 5 = 2y
C. 1/2x+ 2y = 7
D. 5x– 4y = 20
Answer:
Ax + By = C the answer is C 1/2x+2y=7
Step-by-step explanation:
12+90+x=180 I need help fast
Answer:
78
Step-by-step explanation:
102+x=180
x=180-102
x=78
An angle θ on the unit circle has a sine of 14. What is the value of cosθ?
Given:
An angle θ on the unit circle has a sine of [tex]\dfrac{1}{4}[/tex].
To find:
The value of cosθ.
Solution:
We have,
[tex]\sin \theta=\dfrac{1}{4}[/tex]
Since sinθ is positive, therefore, θ lies in first or second quadrant.
We know that,
[tex]\sin^2 \theta +\cos^2 \theta =1[/tex]
[tex](\dfrac{1}{4})^2+\cos^2 \theta =1[/tex]
[tex]\dfrac{1}{16}+\cos^2 \theta =1[/tex]
[tex]\cos^2 \theta =1-\dfrac{1}{16}[/tex]
Taking square root on both sides.
[tex]\cos \theta =\pm \sqrt{\dfrac{16-1}{16}}[/tex]
[tex]\cos \theta =\pm \dfrac{\sqrt{15}}{4}[/tex]
Therefore, the value of cosθ is either [tex]\dfrac{\sqrt{15}}{4}[/tex] or [tex]-\dfrac{\sqrt{15}}{4}[/tex].
The Blackburn family has a square field where they keep their cattle. The area of the field is 40,000 ft2, and Mr. Blackburn wants to put a fence diagonally through the field. What should the length of the fence be? *
282.8 feet
4,000 feet
782.6 feet
8,000 feet
one band was paid $14000 for a concert
Answer:
cool, but what is the question?
What is the value of x for the equation 4x – 2y = 6 if y= -3?
Answer:
x = 0
Step-by-step explanation:
Let's divid both sides of the equation by 2 first, so we don't have as much work to do in the next step:
[tex]4x-2y=6\\2x-y=3[/tex]
Substituting -3 for y:
[tex]2x-(-3)=3\\2x+3=3\\2x=0\\x=0[/tex]
Answers
A. 10
B. 5
D. 15
C. 20
Answer:
D: 15
Step-by-step explanation:
Ok, by looking at the first equation, you know that one triangle equals 10. By looking at the second one, you see that two circles equal 10, since 20- triangle(10) equals 10. This means a circle has to equal 5. looking at the third one, the answer is 13, and a circle is 5, so 13-5=8. Two squares equal 8. the last one shows one triangle, one circle, and a half square. From the third one, you know that one square equals 4, so a half square equals two. I do not know why this logic doesn't match with the answers, since 10(triangle) plus 5(circle) and 2(half square) is 17, but in terms of what makes sense and just matching it with the answers provided, I say go with the third option.
What is the range of function g?
Answer:
c
Step-by-step explanation:
but if C is incorrect i believe your second choice should be D
If y=1/2*x+3, which ordered pair is one of the solutions for the equation and the coordinates for one of the points on
the graph
Step-by-step explanation:
D (-2,2)
:) good day
good day
Solve the inequality: I will give brainliest. Explain in detail please!
p/8 ≥ -5
A.) p ≥ 40
B.) p ≥ 40
C.) p ≥ -13
D.) p ≥ -40
Answer:
plz give me BRAINLIEST
Step-by-step explanation:
c. p >-13
On Monday, the high was 60 degrees Fahrenheit in the Capitol. On Tuesday, the high was 18% more. What was the temperature on Tuesday?
Answer: 78 degrees
Step-by-step explanation:
Simon says that to find the area of a trapezoid, you can multiply the height by the top base and the height by the bottom base. Then add the two products together and divide the sum by 2. Is Simon correct? Complete the explanation.
Answer:
Yes, Simon is correct.
Step-by-step explanation:
A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.
Let the height of a trapezoid be h.
Let the top base of a trapezoid be b1.
Let the bottom base of a trapezoid be b2.
[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]
Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]
[tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1}h + b_{2}h) [/tex]
[tex] Area \; of \; trapezoid = \frac {b_{1}h + b_{2}h}{2} [/tex]
Hence, to find the area of a trapezoid, you will multiply the height by the top base and the height by the bottom base. Then you add the two products together and divide the sum by 2.
enter a negative number that is greater than -10
Answer:
-9
Step-by-step explanation:
Can I have brainliest?
Also can you please thank me, it'll be gratefully appreciative.
:)
hey, help me ASAP please :)
Answer:
because of vertical angles, 108
Step-by-step explanation:
Answer:
108 degrees
Step-by-step explanation:
Opposite angles are equal.
Thus, x = 108 degrees.
Find the length of BC on triangle ABC.
If 4x+3x-2(x+5)=-9 then x=?
Answer:
X=1/5
Step-by-step explanation:
7×-2×-10=-9
5×=-9 +10
5×/5=1/5
×=1/5
any easy way to remember the 8 and or 7 ×tables?
Answer:
nope
Step-by-step explanation:
sorry about not knowing how to
Answer:
08
16
24
32
40
48
56
64
72
80
Step-by-step explanation:
From 1-10 You can see the numbers going from 0-8 on the left side except you repeat the number 4 twice then proceed. Then on the right side you do it backwards but instead you use the 2 times tables and you’re going to want to work your way from bottom to top and then when you reach to 0 which is the number 10 you repeat the 2 times tables again.
The weights in pounds of 6 members of a basketball team are 125, 136, 150, 119,
and 143. Find the mean and the median *
Answer:
Mean:(137.2)
Median:(139.5)
Step-by-step explanation:
Mean = (125+136+150+119+143) divide by six(6)
= 823/6 = approx 137.2
Median = for the median, you will arrange the numbers in other. from smaller to the bigger number.
119,125,136,143,150, 150. so 136 & 143 is the middle number.
so you will add the middle number and divide by 2.
that is 136+143/2 = 139.5.
Can someone please help me and thank you
9514 1404 393
Answer:
325 cm³
Step-by-step explanation:
The volume is the product of the dimensions shown.
V = LWH
V = (13 cm)(5 cm)(5 cm) = 325 cm³
X/-5=1.2
Solve the equation for the value of the equation for the value of the variable show all work please and thanks :):)
well u can transfer the -5 in denominator to the right hand side
so x=1.2*(-5)
x=-6.0
Tommy thought of a number. He multiplied the number 4, then added six. The result was fifty. What was Tommy's starting number?
Answer:
Was number 11
Step-by-step explanation:
50 - 6 = 44
44 dividid 4 is 11
Solve for 3.
Enter the solutions from least to greatest.
2x2 - 5 = 13
lesser x =
greater 2 =
Answer:
lesser: x = -3
greater: x = 3
Step-by-step explanation:
[tex]2x^{2} =18\\x^{2} =9\\x=-3, x=3[/tex]
A team is ordering sweatshirts and sweatpants for its players. Each sweatshirt costs $34 and each pair of sweatpants costs $15. Write an algebraic expression to represent the total cost if want sweatshirts and y players want sweatpants.
Answer:
34+15y
Step-by-step explanation:
Let x players want a sweatshirt and y players want sweatpants.
Each sweatshirt costs $34 and each pair of sweatpants costs $15.
Cost of sweatshirt = 34x
Cost of sweatpants = 15y
Total cost = cost of sweatshirt + cost of sweatpants
= 34x+15y
Hence, the total cost is "34x+15y".
Please help me with this homework
Answer:
linear
non-linear
Step-by-step explanation:
please help me thank you if you can help
Answer:
24 for the 2 batches, 84 for the 7 batches, 72 for the white sugar
Lori tosses a ball into the air. The equation y = –16(x – 1)^2 + 25 models the height, y, in feet, of the ball after x seconds. What is the maximum height the ball reaches?
1 ft
9 ft
16 ft
25 ft
Answer:
25 ft
Step-by-step explanation:
Got it right on EDG2020
The ball will reach the maximum height in a second. Then the maximum height the ball reaches will be 25 ft.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
Lori tosses a ball into the air. The equation models the height, y, in feet, of the ball after x seconds.
[tex]\rm y = -16(x - 1)^2 + 25[/tex]
Differentiate the equation with respect to x, then we have
[tex]\begin{aligned} y' &= 0\\\\\dfrac{d}{dx}[-16(x - 1)^2 + 25] &= 0\\\\ -32(x-1) &= 0\\\\x &= 1 \end{aligned}[/tex]
Then the maximum height the ball reaches will be
[tex]\rm y = -16(1 - 1)^2 + 25\\\\y = -16*0^2 + 25\\\\y = 25[/tex]
Then the maximum height the ball reaches will be 25 ft.
More about the differentiation link is given below.
https://brainly.com/question/24062595
#SPJ2
A line passes through the point 2,1 and has a slope of -3/5. Write an equation for this line
Answer:
y = -3/5x + 1.3
Step-by-step explanation:
y = mx + b
m: slope
b: y-intercept
First, let's substitute in the values.
Point: (2, 1)
Slope: -3/5
y = mx + b
(1) = (-3/5)(2) + b
1 = -0.3 + b
1 + 0.3 = -0.3 + b + 0.3
b = 1.3
Now, let's add the slope and y-intercept to the equation.
y = mx + b
m = -3/5
b = 1.3
y = -3/5x + 1.3
Hope this helped! <3