Basic Math Examples

$200 \cdot \cos (30) + 200 \cdot \sin (30)$

Step 1

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

$200 \cdot \frac{\sqrt{3}}{2} + 200 \cdot \sin (30)$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $200$ .

$2 (100) \cdot \frac{\sqrt{3}}{2} + 200 \cdot \sin (30)$

Step 2.2

Cancel the common factor.

$2 \cdot 100 \cdot \frac{\sqrt{3}}{2} + 200 \cdot \sin (30)$

Step 2.3

Rewrite the expression.

$100 \cdot \sqrt{3} + 200 \cdot \sin (30)$

Step 3

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

$100 \sqrt{3} + 200 \cdot \frac{1}{2}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $200$ .

$100 \sqrt{3} + 2 (100) \cdot \frac{1}{2}$

Step 4.2

Cancel the common factor.

$100 \sqrt{3} + 2 \cdot 100 \cdot \frac{1}{2}$

Step 4.3

Rewrite the expression.

$100 \sqrt{3} + 100$

Step 5

The result can be shown in multiple forms.

Exact Form:

$100 \sqrt{3} + 100$

Decimal Form:

$273.20508075 \dots$