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 Teachoo

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

(a) −1 (b) 0 (c) 1 (d) 2

Transcript

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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Davneet Singh

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.

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