Trigonometry Examples

$\sin (x) (\cot (x) + 1)$

Step 1

Rewrite $\cot (x)$ in terms of sines and cosines.

$\sin (x) (\frac{\cos (x)}{\sin (x)} + 1)$

Step 2

Apply the distributive property.

$\sin (x) \frac{\cos (x)}{\sin (x)} + \sin (x) \cdot 1$

Step 3

Cancel the common factor of $\sin (x)$ .

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Step 3.1

Cancel the common factor.

$\sin (x) \frac{\cos (x)}{\sin (x)} + \sin (x) \cdot 1$

Step 3.2

Rewrite the expression.

$\cos (x) + \sin (x) \cdot 1$

Step 4

Multiply $\sin (x)$ by $1$ .

$\cos (x) + \sin (x)$