Question

if cot theta = 5/12, find 5sin theta-3cos theta÷ 5sin theta+3 cos theta​

Answer 1

3/5 is the correct answer

★ Given :-

Cot θ = 5/12

$\rule{200}{2}$

★ To Find :-

We have to find the value of

5 Sinθ - 3 Cosθ ÷ 5 Sinθ + 3 Cosθ

$\rule{200}{2}$

★ Solution :-

We know that,

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Cotθ = Cosθ/Sinθ

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Cosθ/Sinθ = 5/12

→12 Cosθ = 5 Sinθ ..........(1)

Now, From equation 1.

12 Cosθ - 3 Cosθ/12 Cosθ + 3 Cosθ

→ 9 Cosθ/15 Cosθ

→ 3 Cosθ/5 Cosθ

→ 3/5