Question

Find an exact value.

tan 15°

Answer 1

Hint:

\[\large \tan\left(\frac{x}{2}\right) = \frac{\sin(x)}{1+\cos(x)}\]

Answer 2

x would be 15?

Answer 3

x would be 30

x/2 = 30/2 = 15

Answer 4

you would use the unit circle to evaluate sin(x) = sin(30) and cos(x) = cos(30)

Answer 5

the answer would be 2-sqrt3?

Answer 6

\[\tan 15=\tan \left( 45-30 \right)=\frac{ \tan 45-\tan 30 }{1+\tan 45\tan 30}\]
plug tan 45=1,tan 30=sqrt3

Answer 7

correction tan30=1/sqrt3

Answer 8

i see thank you