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Inverse Trigonometric Functions

Question

If sin^–1x = y, then

(A) 0 ≥ y ≥ $straight pi$ (B) $negative straight pi over 2 less or equal than straight Y less or equal than straight pi over 2$

(C) 0 < y < $straight pi$ (D) $negative straight pi over 2 less than straight y less than straight pi over 2$

Solution

y = sin^–1 x

therefore space space space space space space space space space space space space minus straight pi over 2 less or equal than space straight y space less or equal than space straight pi over 2

∴(B) is correct answer.