CBSE Class 12 Sample Paper for 2023 Boards

Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

## Find the value of sin -1 Β [sin(13Ο/7)]

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## Β

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### Transcript

Question 21 (Choice 1) Find the value of γπ ππγ^(β1) [π ππ(13π/7)]. Let y = sinβ1 ("sin " 13Ο/7) sin y = sin (13Ο/7) sin y = sin (334Β°) But, Range of sinβ1 is [(βΟ)/2, Ο/2] i.e. [β90Β° ,90Β° ] Hence, y = 334Β° not possible Now, sin y = sin (13Ο/7) sin y = sin (ππβπ/π) sin y = β sin (π/π) sin y = sin ((βπ)/π) Hence, y = (βπ)/π Which is in the range of sin-1 i.e. [(βΟ)/2, Ο/2] Hence, sin-1("sin " 13Ο/7) = y = (βπ)/π

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.