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Example 1 Find the principal value of sin–1 (1/√2). Let y = sin–1 (1/√2) sin y = 1/√2 sin y = sin (𝝅/𝟒) ∴ y = 𝝅/𝟒 Since range of principal value of sin −1 is [(−𝝅)/𝟐, ( 𝝅)/𝟐] Hence, Principal Value is 𝝅/𝟒 (Since sin 𝜋/4 = 1/√2)

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.