1.

If 3sinθ + 4cosθ = 5, then find the value of cotθ.1. 3/42. 4/33. 3/54. 4/5

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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