Question

If sinθ = cosθ, then what will be the measure of angle θ?

Answer 1

Given, sinθ = cosθ

We know that,

sinθ = cos(90 – θ)

∴ cosθ = cos(90 – θ)

∴ θ = 90 – θ

∴ θ + θ = 90°

∴ 2θ = 90°

∴ θ = `(90^circ)/2`

∴ θ = 45°