What's the exact value of tan 15°?
O A) 2 + √3
B) 1
OC2
C) 2 - V3
OD) 1 + v3

Please Help!!!!

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Split

15

into two angles where the values of the six trigonometric functions are known.

The result can be shown in multiple forms.

Exact Form:

2−√3

Answer 2

The exact value of tan 15° is,

⇒ tan 15° =  - (2 - √3)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find the exact value of tan 15°.

Now, We can formulate;

tan 15° = tan (45 - 30)°

          = tan 45° - tan30° / (1 + tan45° tan30°)

          = (1 - √3) / (1 + √3)

          = (1 - √3) (1 - √3) / (1 + √3) (1 - √3)

          = (1 + 3 - 2√3) / (1² - √3²)

          = (4 - 2√3) / (1 - 3)

          = 2 (2 - √3) / - 2

          = - (2 - √3)

Thus, The exact value of tan 15° is,

⇒ tan 15° =  - (2 - √3)

Learn more about the function visit:

https://brainly.com/question/11624077

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Answers

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