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 August 14, 2026 by

What is the value of (tan 𝜃 cosec 𝜃) 2   − (sin 𝜃  sec 𝜃)2

(a) −1   (b) 0   (c) 1   (d) 2

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

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Question 32 What is the value of (tan 𝜃 cosec 𝜃)2 − (sin 𝜃 sec 𝜃)2 (a) −1 (b) 0 (c) 1 (d) 2 (tan 𝜃 cosec 𝜃)2 − (sin 𝜃 sec 𝜃)2 = (sin⁡θ/cos⁡〖θ 〗 ×1/sin⁡〖θ 〗 )^2 − (sin⁡〖θ 〗×1/cos⁡〖θ 〗 )^2 = (1/cos⁡〖θ 〗 )^2 − (sin⁡〖θ 〗/cos⁡〖θ 〗 )^2 = 〖𝐬𝐞𝐜〗^𝟐 𝜽 −〖𝐭𝐚𝐧〗^𝟐 𝜽 = 1 So, the correct answer is (c) We know that 1 + tan2 θ = sec2 θ 1 = sec2 θ − tan2 θ sec2 θ − tan2 θ = 1

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