Find the value of sinθ + cosθ cotθ - cosecantθ

The expert has answered the question by adding tanθ which is actually not there in my question.

Solution :

    sin θ + cos θ . cot θ - cosec θ=sin θ + cos θ × cos θsin θ - 1sin θ=sin2θ + cos2θ - 1sin θ=1 - 1sin θ= 0

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=>sinθ+cosθcotθ-cosecθ
=>sinθ+cosθ (cosθ/sinθ) - 1/sinθ
=>sin2θ+cos2θ-sin2θ/sinθ
=>1-sinθ/sinθ
=>cosecθ-1
 
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