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

Last updated at Dec. 16, 2024 by Teachoo

Transcript

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
  1. Class 12
  2. Important Questions for exams Class 12

    3. Chapter 2 Class 12 Inverse Trigonometric Functions

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Important Questions for exams Class 12

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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