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If x = 2sin 2 πœƒΒ  and y = 2 cos 2 πœƒΒ  + 1 then x + y is

(a) 3 Β  (b) 2 Β  (c) 1 Β  (d)1/2

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Question 27 If x = 2sin2πœƒ and y = 2 cos2πœƒ + 1 then x + y is (a) 3 (b) 2 (c) 1 (d)1/2 Now, x + y = 2sin2 πœƒ + (2 cos2 πœƒ + 1) = (2sin2 πœƒ + 2cos2 πœƒ) + 1 = 2(sin2 πœƒ + cos2 πœƒ) + 1 Putting sin2 πœƒ + cos2 πœƒ = 1 = 2 Γ— 1 + 1 = 2 + 1 = 3 So, the correct answer is (a)

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.