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If cosec x = -5/12 and x lies in 2^nd quadrant, then find cos x.(a) 12/13(b) 5/13(c) -13/5(d) 12/13I have been asked this question in final exam.My enquiry is from Trigonometric Functions in portion Trigonometric Functions of Mathematics – Class 11 |
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Answer» CORRECT answer is (c) -13/5 For EXPLANATION: COSEC x = 5/12 sin x = 1/cosec x = 12/5 We know, sin^2x+COS^2x=1 cos^2 x = 1-(-12/5)^2 = 1+144/25 = 169/25 cos x = ±13/5 cos x is negative in 2^nd quadrant so, cos x=-13/5. |
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