Trigonometry Examples

$\sin (45) \cdot 7$

Step 1

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

$\frac{\sqrt{2}}{2} \cdot 7$

Step 2

Combine $\frac{\sqrt{2}}{2}$ and $7$ .

$\frac{\sqrt{2} \cdot 7}{2}$

Step 3

Move $7$ to the left of $\sqrt{2}$ .

$\frac{7 \sqrt{2}}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7 \sqrt{2}}{2}$

Decimal Form:

$4.94974746 \dots$