If x = 2sin 2 ๐œƒ  and y = 2 cos 2 ๐œƒ  + 1 then x + y is

(a) 3   (b) 2   (c) 1   (d)1/2

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  1. Class 10
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Transcript

Question 27 If x = 2sin2๐œƒ and y = 2 cos2๐œƒ + 1 then x + y is (a) 3 (b) 2 (c) 1 (d)1/2 Now, x + y = 2sin2 ๐œƒ + (2 cos2 ๐œƒ + 1) = (2sin2 ๐œƒ + 2cos2 ๐œƒ) + 1 = 2(sin2 ๐œƒ + cos2 ๐œƒ) + 1 Putting sin2 ๐œƒ + cos2 ๐œƒ = 1 = 2 ร— 1 + 1 = 2 + 1 = 3 So, the correct answer is (a)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.