SSC Selection Post 2024 PYQ — Question 73

SSC Selection Post - Graduation Level - 21 June 2024 - Shift 3 • Quantitative Aptitude • Q73

Find the value of (sin 75° + sin 15°).

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e.  62{\sqrt{6} \over 2}.

sin 75° + sin 15° = sin 15° + cos 15° = t

Squaring on both sides, we get

⇒ sin215° + cos215° + 2sin15°.cos15° = t2

⇒ 1 + sin 30° = t2

⇒ 1 + 1/2 = t2

⇒ t2 = 3/2

⇒ t = √6/2