Question

Find an exact value of tan of 17 pi over 12.

Answer 1

First of all find
`sin (17 \pi )/( 6) =sin(3 \pi - ( \pi )/( 6) )= (1)/(2)`
`cos (17 \pi )/( 6) =cos(3 \pi - ( \pi )/( 6) )= (-\sqrt3)/(2)`
Then use
`tan (x)/(2) = (sinx)/(1+cosx)` to verify
`tan (17 \pi )/(12) = (1)/(2- √(3) )`