If 3sin θ - 4cos θ = 0 and θ is an acute angle, find the value of tan θ.
Show answer & explanation
Correct answer: A
Explanation
Given:
3sinθ − 4cosθ = 0
By the formula:
tanθ = sinθ / cosθ
3sinθ = 4cosθ
sinθ / cosθ = 4/3
tanθ = 4/3
SSC CHSL - 26 Nov 2025 - Shift 2 • Quantitative Aptitude • Q62
If 3sin θ - 4cos θ = 0 and θ is an acute angle, find the value of tan θ.
Correct answer: A
Explanation
Given:
3sinθ − 4cosθ = 0
By the formula:
tanθ = sinθ / cosθ
3sinθ = 4cosθ
sinθ / cosθ = 4/3
tanθ = 4/3