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If 3sinθ + 4cosθ = 5, then find the value of cotθ.1. 3/42. 4/33. 3/54. 4/5 |
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Answer» Correct Answer - Option 2 : 4/3 Given: 3sinθ + 4cosθ = 5 we have to find the value of cotθ Concept Used: Sin2θ + cos2θ = 1 Cotθ = cosθ/sinθ Calculation: 3sinθ + 4cosθ = 5 ⇒ (3/5)sinθ + (4/5)cosθ = 1 ----(1) We know that, Sin2θ + cos2θ = 1 ----(2) Comparing (1) and (2) get, Sinθ = 3/5 and cosθ = 4/5 Cotθ = cosθ/sinθ ⇒ cotθ = (4/5)/(3/5) ⇒ cotθ = 4/3 ∴ Value of cotθ is 4/3 |
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