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Evaluate \(\frac {Cot \, 54^{\circ }}{tan \, ⁡36^{\circ }}\).(a) 0(b) 1(c) \(\frac {4}{3}\)(d) \(\frac {3}{4}\)The question was posed to me at a job interview.The above asked question is from Trigonometric Ratios of Complementary Angles topic in portion Trigonometry of Mathematics – Class 10

Answer» RIGHT option is (B) 1

The explanation: \(\frac {Cot \, 54^{\CIRC }}{tan⁡ \, 36^{\circ }} = \frac {Cot \, (90^{\circ }-36^{\circ })}{tan⁡ \, 36^{\circ }} \)

= \(\frac {tan \, 36^{\circ }}{tan⁡ \, 36^{\circ }} \)

= 1


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