Question 21 (Choice 1) - CBSE Class 12 Sample Paper for 2024 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Aug. 9, 2023 by Teachoo

Find the value of 〖sin〗^(-1) [cos(33π/6)]

This question is similar to Example-9 Chapter-2 Inverse trigonometry

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Book a free demo

Transcript

sin−1 ("cos " 33π/6) = sin−1 ("cos " (𝟔𝝅+𝟑𝝅/𝟓)) = sin−1 ("cos " 3𝜋/5) = sin−1 ("sin" (𝝅/𝟐 −𝟑𝛑/𝟓)) = sin−1 ("sin" ((5𝜋 − 6𝜋)/10 )) = sin−1 ("sin" ((−𝝅)/𝟏𝟎 )) Let y = sin−1 ("sin" ((−𝜋)/10 )) sin y = "sin" ((−𝜋)/10 ) sin y = sin (-18°) Hence, y = (−𝝅)/𝟏𝟎 Which is in the range of sin-1 i.e. [(−𝛑)/𝟐, 𝛑/𝟐] Hence, 〖𝒔𝒊𝒏〗^(−𝟏) [𝒄𝒐𝒔(𝟑𝟑𝝅/𝟔)] = (−𝝅)/𝟏𝟎 Hence, 〖𝒔𝒊𝒏〗^(−𝟏) [𝒄𝒐𝒔(𝟑𝟑𝝅/𝟔)] = (−𝝅)/𝟏𝟎

Next: Question 21 (Choice 2) → Ask a doubt

Made by

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.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular