Last updated at May 12, 2021 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 (As tan (180 + θ) = tan θ)
Miscellaneous
Misc. 2 Important You are here
Misc. 3 Deleted for CBSE Board 2022 Exams
Misc. 4 Important Deleted for CBSE Board 2022 Exams
Misc. 5 Deleted for CBSE Board 2022 Exams
Misc. 6 Deleted for CBSE Board 2022 Exams
Misc. 7 Important Deleted for CBSE Board 2022 Exams
Misc. 8 Important Deleted for CBSE Board 2022 Exams
Misc. 9 Important Deleted for CBSE Board 2022 Exams
Misc. 10 Important Deleted for CBSE Board 2022 Exams
Misc. 11 Important Deleted for CBSE Board 2022 Exams
Misc 12 Important Deleted for CBSE Board 2022 Exams
Misc. 13 Important Deleted for CBSE Board 2022 Exams
Misc. 14 Deleted for CBSE Board 2022 Exams
Misc 15 (MCQ) Important Deleted for CBSE Board 2022 Exams
Misc 16 (MCQ) Important Deleted for CBSE Board 2022 Exams
Misc 17 (MCQ) Deleted for CBSE Board 2022 Exams
Miscellaneous
About the Author