cosθ = 3/5; find the value of tanθ.
Show answer & explanation
Correct answer: A
Explanation
cosθ = 3/5
sin²θ + cos²θ = 1
tanθ = sinθ / cosθ
sinθ = √(1 − (3/5)²)
= √(1 − 9/25)
= √(16/25)
= 4/5
⇒ tanθ = (4/5) / (3/5)= 4/3
SSC CPO - 12 Dec 2025 - Shift 2 • Quantitative Aptitude • Q100
cosθ = 3/5; find the value of tanθ.
Correct answer: A
Explanation
cosθ = 3/5
sin²θ + cos²θ = 1
tanθ = sinθ / cosθ
sinθ = √(1 − (3/5)²)
= √(1 − 9/25)
= √(16/25)
= 4/5
⇒ tanθ = (4/5) / (3/5)= 4/3