What is the value of (tan πœƒ cosec πœƒ) 2   − (sin πœƒ  sec πœƒ)2

(a) −1   (b) 0   (c) 1   (d) 2

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  1. Class 10
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Transcript

Question 32 What is the value of (tan πœƒ cosec πœƒ)2 βˆ’ (sin πœƒ sec πœƒ)2 (a) βˆ’1 (b) 0 (c) 1 (d) 2 (tan πœƒ cosec πœƒ)2 βˆ’ (sin πœƒ sec πœƒ)2 = (sin⁑θ/cos⁑〖θ γ€— Γ—1/sin⁑〖θ γ€— )^2 βˆ’ (sin⁑〖θ γ€—Γ—1/cos⁑〖θ γ€— )^2 = (1/cos⁑〖θ γ€— )^2 βˆ’ (sin⁑〖θ γ€—/cos⁑〖θ γ€— )^2 = γ€–π¬πžπœγ€—^𝟐 𝜽 βˆ’γ€–π­πšπ§γ€—^𝟐 𝜽 = 1 So, the correct answer is (c) We know that 1 + tan2 ΞΈ = sec2 ΞΈ 1 = sec2 ΞΈ βˆ’ tan2 ΞΈ sec2 ΞΈ βˆ’ tan2 ΞΈ = 1

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Davneet Singh
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.