What is the value of (tan πœƒ cosec πœƒ) 2 Β  βˆ’ (sin πœƒΒ  sec πœƒ)2

(a) βˆ’1 Β  (b) 0 Β  (c) 1 Β  (d) 2

Ques 32 (MCQ) - What is value of (tan ΞΈ cosec ΞΈ)^2 - (sin ΞΈ sec ΞΈ)^2 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

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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 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