Question

Find the angle (if it exists) in the interval [0, 2 ) for which sin = cos

Answer 1

θ = π/4 over the interval [0,2)

Explanation:

sinθ=cosθ

sinθ/cosθ=1

tanθ=1

θ = π/4 + πn

Because the domain is restricted to the interval [0,2) the only angle that exists which satisfies the interval is π/4. See the graph for a visual.