Calculus Examples

$\frac{160}{300 \cos (x)}$

Step 1

Cancel the common factor of $160$ and $300$ .

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Step 1.1

Factor $20$ out of $160$ .

$\frac{20 (8)}{300 \cos (x)}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $20$ out of $300 \cos (x)$ .

$\frac{20 (8)}{20 (15 \cos (x))}$

Step 1.2.2

Cancel the common factor.

$\frac{20 \cdot 8}{20 (15 \cos (x))}$

Step 1.2.3

Rewrite the expression.

$\frac{8}{15 \cos (x)}$

$\frac{8}{15 \cos (x)}$

$\frac{8}{15 \cos (x)}$

Step 2

Separate fractions.

$\frac{8}{15} \cdot \frac{1}{\cos (x)}$

Step 3

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$\frac{8}{15} \sec (x)$

Step 4

Combine $\frac{8}{15}$ and $\sec (x)$ .

$\frac{8 \sec (x)}{15}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$