Question

if tangent 2a=cot(a+60). find the value of a where 2a is an acute angle

Answer 1

Heya,

Given=>

tan2A = cot(A + 60°)

tanA = cot(90° - A)

therefore,
tan2A = cot(90° - 2A)

So,
cot(90° - 2A) = cot(A + 60°)

Cot will get cancelled both side,

90° - 2A = A + 60°

3A = 30°

A = 10°. ..... Answer

Hope this helps...:)