Question

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 1

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°