Trigonometry Examples

$\arccos (\frac{6}{8})$

Step 1

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(\arccos (\frac{6}{8})) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $6$ and $8$ .

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Step 2.1

Factor $2$ out of $6$ .

$\arccos (\frac{2 (3)}{8}) \cdot \frac{180}{π}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $8$ .

$\arccos (\frac{2 \cdot 3}{2 \cdot 4}) \cdot \frac{180}{π}$

Step 2.2.2

Cancel the common factor.

$\arccos (\frac{2 \cdot 3}{2 \cdot 4}) \cdot \frac{180}{π}$

Step 2.2.3

Rewrite the expression.

$\arccos (\frac{3}{4}) \cdot \frac{180}{π}$

Step 3

Evaluate $\arccos (\frac{3}{4})$ .

$0.72273424 \cdot \frac{180}{π}$

Step 4

Multiply $0.72273424 \frac{180}{π}$ .

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Step 4.1

Combine $0.72273424$ and $\frac{180}{π}$ .

$\frac{0.72273424 \cdot 180}{π}$

Step 4.2

Multiply $0.72273424$ by $180$ .

$\frac{130.0921646}{π}$

Step 5

Replace $π$ with an approximation.

$\frac{130.0921646}{3.14159265}$

Step 6

Divide $130.0921646$ by $3.14159265$ .

$41.4096221$

Step 7

Convert to a decimal.

$41.4096221 °$