Question

Evaluate sec 65° + cosec 75°.

(a) Cosec 25° + Sec 15°

(b) Cosec 25° – Sec 15°

(c) Cosec 15° + Sec 25°

(d) Cosec 15° – Sec 25°

I got this question by my college professor while I was bunking the class.

The origin of the question is Trigonometric Ratios of Complementary Angles in portion Trigonometry of Mathematics – Class 10

Answer 1

The correct choice is (c) Cosec 15° + Sec 25°

Best explanation: Sec 65° + Cosec 75° = Sec (90° – 25°) + Cosec (90° – 15°)

= Cosec 25° + sec 15°