Trigonometry Examples

1.1

$1.1$

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.

(1.1) \cdot \frac{180 °}{π}

$(1.1) \cdot \frac{180 °}{π}$

Step 2

Multiply

(1.1) \frac{180}{π}

$(1.1) \frac{180}{π}$ .

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Step 2.1

Combine

1.1

$1.1$ and

\frac{180}{π}

$\frac{180}{π}$ .

\frac{1.1 \cdot 180}{π}

$\frac{1.1 \cdot 180}{π}$

Step 2.2

Multiply

1.1

$1.1$ by

180

$180$ .

\frac{198}{π}

$\frac{198}{π}$

\frac{198}{π}

$\frac{198}{π}$

Step 3

Replace

π

$π$ with an approximation.

\frac{198}{3.14159265}

$\frac{198}{3.14159265}$

Step 4

Divide

198

$198$ by

3.14159265

$3.14159265$ .

63.02535746

$63.02535746$

Step 5

Convert to a decimal.

63.02535746 °

$63.02535746 °$

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

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