Trigonometry Examples

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $- - \cos (x)$ .

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Step 2.1

Multiply $- 1$ by $- 1$ .

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

Step 2.2

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

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

Step 3

Apply the distributive property.

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