Correct Answer - Option 1 :
\(-\frac{\sqrt3}{2}\)
Concept:
cos (2nπ ± θ) = cos θ
cos (90 + θ) = -sin θ
Calculation:
Here, cos(2010°)
⇒ cos (6 × 360° - 150°)
= cos(150°) (∵ cos (2nπ ± θ) = cos θ)
= cos(90° + 60°)
= - sin(60°) (∵ cos (90 + θ) = -sin θ)
= \(-\frac{\sqrt3}{2}\)
Hence, option (1) is correct.