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Evaluate cosec θ sec θ.(a) cos θ + tan θ(b) cos θ – tan θ(c) tan θ – cot θ(d) cot θ + tan θI have been asked this question in final exam.Asked question is from Trigonometric Identities in section Trigonometry of Mathematics – Class 10 |
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Answer» RIGHT choice is (d) cot θ + tan θ The explanation: COSEC θ sec θ = \(\frac {1}{SIN \, \theta } \frac {1}{COS \, \theta } \) = \(\frac {1}{sin \, \theta \, cos \, \theta } \)(cos^2θ + sin^2θ) = \(\frac {cos \, \theta }{sin \, \theta } + \frac {sin \, \theta }{cos \, \theta } \) = cot θ + tan θ |
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