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
CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]
CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]
Last updated at Dec. 16, 2024 by Teachoo
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)