Question

Verify:
1-tan²60°\ 1+tan²60°=2 cos²60°-1

Answer 1

when simplified we get LHS=RHS
1-3/1+3=2*1/4-1
-1/2=-1/2

Answer 2

We know that, tan60°=√3.Therefore tan^2 60°=3 And cos60°=1/2.Therefore cos^2 60°=1/4. Given: to prove that 1-tan^2 60°/ 1+tan^2 60°= 2 cos^2 60° - 1. 1-3/1+3=(2×1/4)-1 We get as -1/2=-1/2 Therefore L.H.S=R.H.S HENCE PROVED