If cos2A=½, what is sin2A?
Show answer & explanation
Correct answer: A
Explanation
Given:
cos2A = 1/2
By the formula:
sin²θ + cos²θ = 1
sin²2A + (1/2)² = 1
sin²2A + 1/4 = 1
sin²2A = 3/4
sin2A = √(3/4)
= √3 / 2
SSC CHSL - 21 Nov 2025 - Shift 2 • Quantitative Aptitude • Q75
If cos2A=½, what is sin2A?
Correct answer: A
Explanation
Given:
cos2A = 1/2
By the formula:
sin²θ + cos²θ = 1
sin²2A + (1/2)² = 1
sin²2A + 1/4 = 1
sin²2A = 3/4
sin2A = √(3/4)
= √3 / 2