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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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