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

CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard →
Class 10
Solutions of Sample Papers for Class 10 Boards

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

Slide57.jpeg

Go Ad-free

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

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 and Computer Science at Teachoo