SSC CGL 2021 PYQ — Question 52

SSC CGL - 24 Aug 2021 - Shift 2 • Quantitative Aptitude • Q52

Find the value of sin2 60° + cos2 30° - sin2 45° - 3sin290°.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. -2

sin2 60° + cos2 30° - sin2 45° - 3sin290°.

= (32)2+(32)2−(12)2−3×1(\dfrac{\sqrt3}{2})^2+(\dfrac{\sqrt3}{2})^2-(\dfrac{1}{\sqrt2})^2-3\times1

= 3/4 + 3/4 - 1/2 - 3

= 3/2 - 1/2 - 3

= 1 - 3

= -2