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

## (A)√3 (B) 1/√3 (C) √3/2 (D) 1

Last updated at Aug. 19, 2021 by Teachoo

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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 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.