can someone explain to me how this is correct? This is an answer my teacher gave me

Find the exact value for Tan(17pi/12)

Answer --- ( sqrt3 +1)/(sqrt3 - 1)

Question

can someone explain to me how this is correct? This is an answer my teacher gave me 

Find the exact value for Tan(17pi/12)

Answer ---> ( sqrt3 +1)/(sqrt3 - 1)

alyssa_xo · Answer

you can expess tan as sin/cos

anonymous · Answer

this is a time to use a scientific calculator

alyssa_xo · Answer

$\sin (\dfrac{17 \pi}{12})=-\dfrac{\sqrt3+1}{2\sqrt2}$

find cosine, simplify the fraction. I assume the denominators cancel out

kalli · Answer

o, that was so simple haha i wasnt sure. Thanks @alyssa_xo

alyssa_xo · Answer

anytime babygurl