Question

what is the principal value of sin theta =1​

Answer 1

The principal value of sin−1 x is α, where - π2 ≤ α ≤ π2 and α satisfies the equation sin θ = x. For example, principal value of sin−1 (-√32) is -π3and its general value is nπ + (- 1)n ∙ (-π3) = nπ - (- 1)n ∙ π3.