Need help with double angle identity questions.

hayling123

New member
Joined
Jan 14, 2022
Messages
1
Hey guys,

I'm working my way through some problems and have become stuck on the following questions-

"Use the double-angle identity for tangent, and the exact value of tan(5π/6), for a different way to find an exact value of tan(5π/12)."

I have already shown the exact value of tan(5π/12) is 2+sqrt3

Any help with how i'd go about it would be great. I know I will need to solve a quadratic equation, but any help to get there would be fantastic

cheers
 

BigBeachBanana

Full Member
Joined
Nov 19, 2021
Messages
556
[math]\tan\left(\frac{5\pi}{6}\right)=\tan\left(2\cdot\frac{5\pi}{12}\right)[/math]Can you use the double-angle identity to continue?
 
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