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Evaluate \(\frac {sin \, 54^{\circ }}{cos⁡ \, 36^{\circ }}\).(a) 0(b) 1(c) \(\frac {4}{3}\)(d) \(\frac {3}{4}\)I have been asked this question by my college professor while I was bunking the class.The above asked question is from Trigonometric Ratios of Complementary Angles topic in portion Trigonometry of Mathematics – Class 10

Answer»

Correct option is (b) 1

Explanation: \(\FRAC {sin \, 54^{\circ }}{cos⁡ \, 36^{\circ }} = \frac {sin \, (90^{\circ }-36^{\circ })}{cos⁡ \, 36^{\circ }}\)

= \(\frac {Cos \, 36^{\circ }}{Cos \, 36^{\circ }}\)

= 1



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