Trigonometry Examples

$w = 45 \cdot (20 \cos (30))$

Step 1

Remove parentheses.

$w = 45 \cdot (20 \cos (30))$

Step 2

Simplify $45 \cdot (20 \cos (30))$ .

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Step 2.1

The exact value of $\cos (30)$ is $\frac{\sqrt{3}}{2}$ .

$w = 45 \cdot (20 \frac{\sqrt{3}}{2})$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $20$ .

$w = 45 \cdot (2 (10) \frac{\sqrt{3}}{2})$

Step 2.2.2

Cancel the common factor.

$w = 45 \cdot (2 \cdot 10 \frac{\sqrt{3}}{2})$

Step 2.2.3

Rewrite the expression.

$w = 45 \cdot (10 \sqrt{3})$

Step 2.3

Multiply $10$ by $45$ .

$w = 450 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$w = 450 \sqrt{3}$

Decimal Form:

$w = 779.42286340 \dots$