Trigonometry Examples

$\frac{\sin (x) + 2 \sin (x) \cos (x)}{2 + \cos (x) - 2 \sin^{2} (x) x}$

Step 1

Factor $\sin (x)$ out of $\sin (x) + 2 \sin (x) \cos (x)$ .

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Step 1.1

Multiply by $1$ .

$\frac{\sin (x) \cdot 1 + 2 \sin (x) \cos (x)}{2 + \cos (x) - 2 \sin^{2} (x) x}$

Step 1.2

Factor $\sin (x)$ out of $2 \sin (x) \cos (x)$ .

$\frac{\sin (x) \cdot 1 + \sin (x) (2 \cos (x))}{2 + \cos (x) - 2 \sin^{2} (x) x}$

Step 1.3

Factor $\sin (x)$ out of $\sin (x) \cdot 1 + \sin (x) (2 \cos (x))$ .

$\frac{\sin (x) (1 + 2 \cos (x))}{2 + \cos (x) - 2 \sin^{2} (x) x}$

Step 2

Reorder factors in $\frac{\sin (x) (1 + 2 \cos (x))}{2 + \cos (x) - 2 \sin^{2} (x) x}$ .

$\frac{\sin (x) (1 + 2 \cos (x))}{2 + \cos (x) - 2 x \sin^{2} (x)}$