Misc 2 - Chapter 2 Class 12 Inverse Trigonometric Functions (Important Question)

Last updated at Dec. 16, 2024 by

Misc 2 - Find tan-1 (tan 7pi/6) - Chapter 2 Inverse CBSE - Miscellaneous

part 2 - Misc 2 - Miscellaneous - Serial order wise - Chapter 2 Class 12 Inverse Trigonometric Functions

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Misc 2 Find the value of tan−1(tan⁡〖7π/6〗 ) Let y = tan−1(tan⁡〖7π/6〗 ) tan y =〖 tan〗⁡〖7π/6〗 tan y = tan (210°) But, range of of tan-1 is ("−" 𝜋/2 " , " 𝜋/2) i.e. (−90° ,90°) Hence, y = 210° not possible Now, tan y = tan (210°) tan y = tan (180° + 30°) tan y = tan (30°) tan y = tan (𝜋/6) Hence, y = 𝝅/𝟔 Which is in the range of tan-1 i.e. ((−π)/2, π/2) Hence, tan–1(𝐭𝐚𝐧⁡〖𝟑𝛑/𝟒〗 ) = y = 𝝅/𝟔

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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