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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

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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