Question 21 (Choice 1) - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 12, 2026 by Teachoo

Find the value of sin ^-1 [sin(13π/7)]

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Question 21 (Choice 1) Find the value of 〖𝑠𝑖𝑛〗^(−1) [𝑠𝑖𝑛(13𝜋/7)]. Let y = sin−1 ("sin " 13π/7) sin y = sin (13π/7) sin y = sin (334°) But, Range of sin−1 is [(−π)/2, π/2] i.e. [−90° ,90° ] Hence, y = 334° not possible Now, sin y = sin (13π/7) sin y = sin (𝟐𝝅−𝛑/𝟕) sin y = − sin (𝛑/𝟕) sin y = sin ((−𝛑)/𝟕) Hence, y = (−𝝅)/𝟕 Which is in the range of sin-1 i.e. [(−π)/2, π/2] Hence, sin-1("sin " 13π/7) = y = (−𝝅)/𝟕

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