Question

What is the value of cos A sec A + sin A cosec A – tan A cot A?

(a) 0

(b) 2

(c) 1

(d) 3

I got this question in an interview for internship.

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

Answer 1

Correct option is (c) 1

To explain I would say: Cos A sec A = 1

Similarly sin A cosec A = 1 and tan A cot A = 1

∴ cos A sec A + sin A cosec A – tan A cot A = 1 + 1 – 1 = 1