If x = 2sin 2 𝜃  and y = 2 cos 2 𝜃  + 1 then x + y is

(a) 3   (b) 2   (c) 1   (d)1/2

Ques 27 (MCQ) - If x = 2sin^2 θ and y = 2cos^2θ + 1 then x + y is - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

Remove Ads
Teachoo · Class 10 Explore Class 10

Transcript

Question 27 If x = 2sin2𝜃 and y = 2 cos2𝜃 + 1 then x + y is (a) 3 (b) 2 (c) 1 (d)1/2 Now, x + y = 2sin2 𝜃 + (2 cos2 𝜃 + 1) = (2sin2 𝜃 + 2cos2 𝜃) + 1 = 2(sin2 𝜃 + cos2 𝜃) + 1 Putting sin2 𝜃 + cos2 𝜃 = 1 = 2 × 1 + 1 = 2 + 1 = 3 So, the correct answer is (a)

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.