SSC CPO 2022 PYQ — Question 131

SSC CPO - 10 Nov 2022 - Shift 1 • Quantitative Aptitude • Q131

The value of the expression cos245° + cos² 1350+ cos2225° + cos2315° is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 32\frac{3}{2} 

The trigonometric equation given to us is:-

⇒ cos245° + cos² 1350+ cos2225° + cos2315°

⇒ cos245° + cos2(3× 360 + 270) + cos2(180 + 45) + cos2(360 - 45)

⇒ 121\over 2  + 0 + 121\over 2  + 121\over 2

⇒ 323\over 2