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Evaluate (cosec A – 1) (cosec A + 1) (sec^2 A – 1).(a) 0(b) 1(c) \(\frac {4}{3}\)(d) \(\frac {3}{4}\)The question was posed to me in an interview for job.I would like to ask this question from Trigonometric Identities topic in portion Trigonometry of Mathematics – Class 10

Answer»

The correct answer is (B) 1

For explanation: (COSEC A – 1) (cosec A + 1) (sec^2 A – 1) = (cosec^2 A – 1) (sec^2 A – 1)

= cot^2A . tan^2 A

= \(\FRAC {1}{tan^2 A}\) . tan^2 A

= 1



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