SSC CGL 2024 PYQ — Question 70

SSC CGL - 11 Sep 2024 - Shift 3 • Quantitative Aptitude • Q70

Express sin 74° + tan 74° in terms of trigonometric ratios of angles between 0° and 45°.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. cos 16° + cot 16°.

sin(90° - A) = cos A and tan(90° - A) = cot A

Hence, sin 74° = cos 16° and tan 74° = cot 16°

Therefore, sin 74° + tan 74° = cos 16° + cot 16°