CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

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Question 32 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

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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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.