Trigonometry Examples

$h = 4 \sin (45) (37)$

Step 1

Multiply $4 \sin (45)$ by $37$ .

$h = 4 \sin (45) \cdot 37$

Step 2

Simplify $4 \sin (45) \cdot 37$ .

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Step 2.1

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

$h = 4 \frac{\sqrt{2}}{2} \cdot 37$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $4$ .

$h = 2 (2) \frac{\sqrt{2}}{2} \cdot 37$

Step 2.2.2

Cancel the common factor.

$h = 2 \cdot 2 \frac{\sqrt{2}}{2} \cdot 37$

Step 2.2.3

Rewrite the expression.

$h = 2 \sqrt{2} \cdot 37$

Step 2.3

Multiply $37$ by $2$ .

$h = 74 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$h = 74 \sqrt{2}$

Decimal Form:

$h = 104.65180361 \dots$