Question

Evaluate tan 75° + cot 65°.

(a) Cot 25° + Tan 15°

(b) Cot 25° – Tan 15°

(c) Cot 15° + Tan 25°

(d) Cot 15° – Tan 25°

This question was posed to me during a job interview.

Question is taken from Trigonometric Ratios of Complementary Angles topic in division Trigonometry of Mathematics – Class 10

Answer 1

Right option is (c) Cot 15° + Tan 25°

Easy explanation: Tan 75° + Cot 65° = Tan (90° – 15°) + Cot (90° – 25°)

= Cot 15° + Tan 25°