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If 3sin⁡θ–cos⁡θcos⁡θ+sin⁡θ\frac{3 \sin θ – \cos θ} { \cos θ + \sin θ}cosθ+sinθ3sinθ–cosθ​​ = 1, then the value of cot θ is:
Question

If 3sinθcosθcosθ+sinθ\frac{3 \sin θ – \cos θ} { \cos θ + \sin θ}​ = 1, then the value of cot θ is:

A.

3

B.

0

C.

1

D.

2

Correct option is C

Given:

3sinθcosθcosθ+sinθ=1\frac{3 \sin \theta - \cos \theta}{\cos \theta + \sin \theta} = 1​​

Solution:

  3sinθcosθcosθ+sinθ=1\frac{3 \sin \theta - \cos \theta}{\cos \theta + \sin \theta} = 1 

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