If x = 2sin 2 šœƒ  and y = 2 cos 2 šœƒ  + 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]

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Question 27 If x = 2sin2šœƒ and y = 2 cos2šœƒ + 1 then x + y is (a) 3 (b) 2 (c) 1 (d)1/2 Now, x + y = 2sin2 šœƒ + (2 cos2 šœƒ + 1) = (2sin2 šœƒ + 2cos2 šœƒ) + 1 = 2(sin2 šœƒ + cos2 šœƒ) + 1 Putting sin2 šœƒ + cos2 šœƒ = 1 = 2 Ɨ 1 + 1 = 2 + 1 = 3 So, the correct answer is (a)

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