Ex 8.2, 2 (iv) - Choose correct option -  2 tan 30 / 1 - tan^2 30 (A) cos 60 (B) sin 60 (C) tan 60 (D) sin 30

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Ex 8.2, 2 (iv) - Chapter 8 Class 10 Introduction to Trignometry - Part 2

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  1. Chapter 8 Class 10 Introduction to Trignometry (Term 1)
  2. Serial order wise

Transcript

Ex 8.2, 2 Choose the correct option and justify your choice : (iv) (2 π‘‘π‘Žπ‘›β‘γ€–30Β°γ€—)/(1 βˆ’ tan^2⁑〖30Β°γ€— ) (A) cos 60Β° (B) sin 60Β° (C) tan 60Β° (D) sin 30Β° We know that , tan "30Β°" = 1/√3 So, (2 tan⁑〖30Β°γ€—)/(1 βˆ’ π‘‘π‘Žπ‘›2 30Β°) = (2 Γ— (1/√3))/(1 βˆ’ (1/√3)^2 ) = (2/√3)/(1 βˆ’ 1/3) = (2/√3)/(2/3) = 2/√3Γ—3/2 = 2/√3Γ—(√3 Γ— √3)/2 = √3 Options are (A) cos 60Β° (B) sin 60Β° (C) tan 60Β° (D) sin 30Β° Since tan "60Β°" =√3 Hence, option (C) is correct

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.