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What is the value of\(\frac {2 cot \, ⁡60^{\circ }}{1 + cot \, ⁡⁡45^{\circ }}\)?(a) Cot 30°(b) Cot 45°(c) Cot 60°(d) Tan 60°I got this question during an interview for a job.My query is from Trigonometric Ratios of Specific Angles topic in portion Trigonometry of Mathematics – Class 10

Answer»

The CORRECT option is (c) COT 60°

The best explanation: \(\frac {2 cot \, ⁡⁡60^{\circ }}{1 + cot \, ⁡⁡45^{\circ }} = \frac {2 (\frac {1}{\sqrt 3})}{1 + 1}\)

= \(\frac {\frac {2}{\sqrt {3}}}{2}\)

= \(\frac {1}{\sqrt 3}\)

= Cot 60°



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