If sin2A=3/5, what is cos2A?
Show answer & explanation
Correct answer: A
Explanation
Given:
sin2A = 3/5
By the formula:
sin²θ + cos²θ = 1
sin²2A + cos²2A = 1
(3/5)² + cos²2A = 1
9/25 + cos²2A = 1
cos²2A = 1 − 9/25
cos²2A = 16/25
cos2A = 4/5
SSC CHSL - 14 Nov 2025 - Shift 2 • Quantitative Aptitude • Q72
If sin2A=3/5, what is cos2A?
Correct answer: A
Explanation
Given:
sin2A = 3/5
By the formula:
sin²θ + cos²θ = 1
sin²2A + cos²2A = 1
(3/5)² + cos²2A = 1
9/25 + cos²2A = 1
cos²2A = 1 − 9/25
cos²2A = 16/25
cos2A = 4/5