Find Ѳ to four significant digits

Question

Sin Ѳ = 0.7034 for 0 _< Ѳ < 2π.?

Answer 1

sinθ=0.7034

sinθ=sin44.7

The general solution of sin θ = sin ∝ is  θ = nπ + (-1)^n ∝, n ∈ Z

θ = nπ + (-1)^n (44.7)

At n = 1

θ = π + (-1)^1 (44.7) = 135.3