Question

If 0 ≤ Θ ≤ 2π, find Θ:

sin Θ = csc Θ

Answer 1

Hi there!

θ = π/2

Recall that:

cscθ = 1/sinθ

Thus:

sinθ = 1/sinθ

OR:

sin²θ = 1

To solve, we can take the square root of both sides:

sinθ = √1 = 1

sinθ = 1 at π/2.