If sin A = 1/2 , then the value of cot A is

(A)√3  (B) 1/√3  (C) √3/2  (D) 1

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Question 5 If sin A = 1/2 , then the value of cot A is (A)√3 (B) 1/√3 (C) √3/2 (D) 1 Since sin A = 1/2 ∴ cosec A = 2 Now, 1 + cot2 A = cosec2 A Putting values 1 + cot2 A = 22 1 + cot2 A = 4 cot2 A = 4 − 1 cot2 A = 3 Taking square root cot A = ± √3 Since only positive values are given in options cot A = √𝟑 So, the correct answer is (A)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo