If sin θ = 4 cos θ, then what is the value of sin θ cos θ?
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 4/17
|
Concept |
Understanding |
Application |
Fair calculation |
|
Tanθ = P/B H2 = B2 + P2
|
Given that, sin θ = 4 cos θ |
Sin θ = 4 cos θ Tanθ = 4 = P/B So, let P be 4 and B be 1 H2 = B2 + P2 H = √17 Sinθ = 4/√17 Cosθ = 1/√17 Hence, Sinθ Cosθ = (4/√17) × (1/√17) = 4/17 |
H2 = 42 + 12 = 17 H = √17
|