If 2 tan ⁡ θ = 3 2 \tan \theta = 3 2 tan θ = 3 , then what is the value of 3 sin ⁡ θ − 2 cos ⁡ θ 3 sin ⁡ θ + 2 cos ⁡ θ ? \frac{3 \sin \theta - 2 \cos ...

Question

If

2tanθ=32 \tan \theta = 3
, then what is the value of

3sinθ2cosθ3sinθ+2cosθ  ?\frac{3 \sin \theta - 2 \cos \theta}{3 \sin \theta + 2 \cos \theta} \; ?

Options

A.

6/13

B.

6/7

C.

5/7

D.

5/13

trigonometryratiosidentitiesvalue-basedssc 2024

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