Trigonometry Examples

$6 \sin (45)$

Step 1

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

$6 \frac{\sqrt{2}}{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $6$ .

$2 (3) \frac{\sqrt{2}}{2}$

Step 2.2

Cancel the common factor.

$2 \cdot 3 \frac{\sqrt{2}}{2}$

Step 2.3

Rewrite the expression.

$3 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{2}$

Decimal Form:

$4.24264068 \dots$