Trigonometry Examples

$\sin (x) \cos (45) - \cos (x) \sin (45)$

Step 1

The exact value of $\cos (45)$ is $\frac{\sqrt{2}}{2}$ .

$\sin (x) \frac{\sqrt{2}}{2} - \cos (x) \sin (45)$

Step 2

Combine $\sin (x)$ and $\frac{\sqrt{2}}{2}$ .

$\frac{\sin (x) \sqrt{2}}{2} - \cos (x) \sin (45)$

Step 3

The exact value of $\sin (45)$ is $\frac{\sqrt{2}}{2}$ .

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

Step 4

Combine $\frac{\sqrt{2}}{2}$ and $\cos (x)$ .

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