If sin²θ = 1 – cos²θ, then what is the value of sin⁴θ in terms of cos²θ?
Show answer & explanation
Correct answer: D
Explanation
sin²θ = 1 − cos²θ
sin⁴θ = (sin²θ)²
sin⁴θ = (1 − cos²θ)²
(1 − cos²θ)² = 1 − 2cos²θ + cos⁴θ
sin⁴θ = 1 − 2cos²θ + cos⁴θ
SSC Selection Post 2025 PYQ — Question 46
SSC Selection Post - Higher Secondary Level - 24th July 2025 - Shift 2 • Quantitative Aptitude • Q46