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 Dec. 13, 2024 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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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