Question

Solve 2 tan θ = 2 cot θ for all values of θ if θ is measured in degrees.

Answer 1

2tanθ = 2cotθ

tanθ = cotθ

tanθ = 1 /tanθ

tan²θ = 1

tanθ = ±1

if tanθ = 1

θ = 45° + nπ (π = 180° , n is a natural number)

if tanθ = -1

θ = 135° + nπ