Question

If tan A = \(\frac {89}{17}\), then cot A is _____

(a) \(\frac {89}{17}\)

(b) \(\frac {89}{16}\)

(c) \(\frac {17}{89}\)

(d) \(\frac {16}{89}\)

This question was posed to me by my school teacher while I was bunking the class.

This is a very interesting question from Trigonometric Ratios in chapter Trigonometry of Mathematics – Class 10

Answer 1

Right choice is (c) \(\frac {17}{89}\)

The explanation is: Tan A and cot A are reciprocal ratios and cot is inverse of tan.

Tan A = \(\frac {1}{Cot A} = \frac {1}{89/17}\)

= \(\frac {17}{89}\)