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

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

Question 7 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at August 12, 2026 by

If 2 sin 2 ⁡β – cos 2 ⁡β  = 2, then β is

(a) 0ᵒ   (b) 90ᵒ   (c) 45ᵒ   (d) 30ᵒ

Ques 7 (MCQ) - If 2sin^2 β – cos^2 β = 2, then β is - Teachoo SQP - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]

part 2 - Question 7 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

Remove Ads
Teachoo · Class 10 Explore Class 10

Transcript

Question 7 If 2 sin^2⁡𝛽 – cos^2⁡𝛽 = 2, then β is (a) 0ᵒ (b) 90ᵒ (c) 45ᵒ (d) 30ᵒ Given 2 sin^2⁡𝛽 – cos^2⁡𝛽 = 2 – cos^2⁡𝛽 = 2 − 2 sin^2⁡𝛽 – 〖𝒄𝒐𝒔〗^𝟐⁡𝜷 = 2(1 − 〖𝒔𝒊𝒏〗^𝟐⁡𝜷) – cos^2⁡𝛽 = 2 cos^2⁡𝛽 0 = 2 cos^2⁡𝛽 "+ " cos^2⁡𝛽 0 = 3 cos^2⁡𝛽 3 cos^2⁡𝛽 = 0 cos^2⁡𝛽 = 0 𝒄𝒐𝒔⁡𝜷 = 0 This is possible if 𝛽 = 90° So, the correct answer is (b)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.