SSC CGL 2024 PYQ — Question 57

SSC CGL - 10 Sep 2024 - Shift 3 • Quantitative Aptitude • Q57

3sin58o5cos32o3sin58^o\over{5cos32^o}+ 2sin62o5cos28o2sin62^o\over{5cos28^o} is equal to:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 1.

We know that,

sin(90 - θ) = cosθ

Now,

⇒ 3sin58o5cos32o3sin58^o\over{5cos32^o}+ 2sin62o5cos28o2sin62^o\over{5cos28^o}

⇒ 3sin(90−58)o5cos32o3sin(90-58)^o\over{5cos32^o} + 2sin(90−62)o5cos28o2sin(90-62)^o\over{5cos28^o}

⇒ 3cos32o5cos32o3cos32^o\over{5cos32^o} + 2cos28o5cos28o2cos28^o\over{5cos28^o}

⇒ 35+25{3\over5} + {2\over5}

⇒ 555\over5 = 1