If tan θ = 1, find cos²θ.
Show answer & explanation
Correct answer: A
Explanation
Given:
tanθ = 1
By the formula:
1 + tan²θ = sec²θ
cos²θ = 1 / sec²θ
tan²θ = 1² = 1
sec²θ = 1 + 1 = 2
cos²θ = 1 / 2
SSC CHSL - 22 Nov 2025 - Shift 1 • Quantitative Aptitude • Q74
If tan θ = 1, find cos²θ.
Correct answer: A
Explanation
Given:
tanθ = 1
By the formula:
1 + tan²θ = sec²θ
cos²θ = 1 / sec²θ
tan²θ = 1² = 1
sec²θ = 1 + 1 = 2
cos²θ = 1 / 2