Algebra Examples

\cos^{-1} (\frac{4}{5})

$\cos^{-1} (\frac{4}{5})$

Step 1

To convert radians to degrees, multiply by

\frac{180}{π}

$\frac{180}{π}$ , since a full circle is

360 °

$360 °$ or

2 π

$2 π$ radians.

(\cos^{-1} (\frac{4}{5})) \cdot \frac{180 °}{π}

$(\cos^{-1} (\frac{4}{5})) \cdot \frac{180 °}{π}$

Step 2

Evaluate

\cos^{-1} (\frac{4}{5})

$\cos^{-1} (\frac{4}{5})$ .

0.6435011 \cdot \frac{180}{π}

$0.6435011 \cdot \frac{180}{π}$

Step 3

Multiply

0.6435011 \frac{180}{π}

$0.6435011 \frac{180}{π}$ .

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Step 3.1

Combine

0.6435011

$0.6435011$ and

\frac{180}{π}

$\frac{180}{π}$ .

\frac{0.6435011 \cdot 180}{π}

$\frac{0.6435011 \cdot 180}{π}$

Step 3.2

Multiply

0.6435011

$0.6435011$ by

180

$180$ .

\frac{115.83019958}{π}

$\frac{115.83019958}{π}$

\frac{115.83019958}{π}

$\frac{115.83019958}{π}$

Step 4

Replace

π

$π$ with an approximation.

\frac{115.83019958}{3.14159265}

$\frac{115.83019958}{3.14159265}$

Step 5

Divide

115.83019958

$115.83019958$ by

3.14159265

$3.14159265$ .

36.86989764

$36.86989764$

Step 6

Convert to a decimal.

36.86989764 °

$36.86989764 °$

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

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