If 5 Cotθ = 3, find the value of (6 Sinθ - 3 Cosθ)/(7 Sinθ + 3 Cosθ).
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Correct answer: C
Explanation
The correct answer is option 3 i.e 21/44
⇒ 5Cotθ = 3
⇒ Cotθ = 3 / 5 = Base / Perpendicular
Hypotenuse = √(32 + 52)
Hypotenuse = √34
⇒ (6Sinθ - 3Cosθ) / (7Sinθ + 3Cosθ)
⇒ (6 × (5 / √34) - 3 × (3 / √34)) / (7 × (5 / √34) + 3 × (3 / √34))
⇒ (30 - 9) / (35 + 9)
⇒ 21 / 44