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If tan x = -5/12 and x lies in 2^nd quadrant, then find cosec x.(a) 12/5(b) 13/5(c) -13/5(d) -12/5I have been asked this question in exam.This intriguing question originated from Trigonometric Functions topic in portion Trigonometric Functions of Mathematics – Class 11

Answer»

Right CHOICE is (b) 13/5

The explanation: tan X = -5/12

cot x = 1/tan x = 1/ (-5/12) = -12/5

We know, COSEC^2x – cot^2x = 1

cosec^2x =1+(-12/5)^2 = 1+144/25 = 169/25

cosec x = ± 13/5

cosec x is positive in 2^nd QUADRANT so, cosec x = 13/5.



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