Differentiate the following function with respect to (x): (x-2) - Vidyadip

Question

Differentiate the following function with respect to $(\text{x})$:$\frac{\cos(\text{x}-2)}{\sin\text{x}}$

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Answer

We have,$\frac{\text{d}}{\text{dx}}\frac{\cos(\text{x}-2)}{\sin\text{x}}$
$=\frac{\text{d}}{\text{dx}}\frac{(\cos\text{x}.\cos2+\sin\text{x}.\sin2)}{\sin\text{x}}$
$=\cos2\frac{\text{d}}{\text{dx}}(\cot\text{x})+\sin2\frac{\text{d}}{\text{dx}}(1)$
$-\cos2.\text{coesc}^2\text{x}+0$
$-\cos2.\text{coesc}^2\text{x}$

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