Last updated at April 16, 2024 by Teachoo
Ex 2.1, 1 Find the principal value of sin-1 (−1/2) Let y = sin-1 ((−1)/2) y = − sin-1 (1/2) y = − 𝛑/𝟔 Since Range of sin −1 is [(−𝝅)/𝟐, ( 𝝅)/𝟐] Hence, Principal Value is (−𝝅)/𝟔 We know that sin−1 (−x) = − sin −1 x Since sin 𝜋/6 = 1/2 𝜋/6 = sin−1 (𝟏/𝟐)