Trigonometry Examples

\frac{5 π}{4}

$\frac{5 π}{4}$

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.

(\frac{5 π}{4}) \cdot \frac{180 °}{π}

$(\frac{5 π}{4}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of

π

$π$ .

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Step 2.1

Factor

π

$π$ out of

5 π

$5 π$ .

\frac{π \cdot 5}{4} \cdot \frac{180}{π}

$\frac{π \cdot 5}{4} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

\frac{π \cdot 5}{4} \cdot \frac{180}{π}

$\frac{π \cdot 5}{4} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

\frac{5}{4} \cdot 180

$\frac{5}{4} \cdot 180$

\frac{5}{4} \cdot 180

$\frac{5}{4} \cdot 180$

Step 3

Cancel the common factor of

4

$4$ .

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Step 3.1

Factor

4

$4$ out of

180

$180$ .

\frac{5}{4} \cdot (4 (45))

$\frac{5}{4} \cdot (4 (45))$

Step 3.2

Cancel the common factor.

\frac{5}{4} \cdot (4 \cdot 45)

$\frac{5}{4} \cdot (4 \cdot 45)$

Step 3.3

Rewrite the expression.

5 \cdot 45

$5 \cdot 45$

5 \cdot 45

$5 \cdot 45$

Step 4

Multiply

5

$5$ by

45

$45$ .

225

$225$

Step 5

Convert to a decimal.

225 °

$225 °$

\frac{5 π}{4}

$\frac{5 π}{4}$

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

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