Trigonometry Examples

$\frac{7 π}{10}$

Step 1

Since the angle $\frac{7 π}{10}$ is in the second quadrant, subtract $\frac{7 π}{10}$ from $π$ .

$π - \frac{7 π}{10}$

Step 2

Simplify the result.

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Step 2.1

To write $π$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$π \cdot \frac{10}{10} - \frac{7 π}{10}$

Step 2.2

Combine fractions.

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Step 2.2.1

Combine $π$ and $\frac{10}{10}$ .

$\frac{π \cdot 10}{10} - \frac{7 π}{10}$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{π \cdot 10 - 7 π}{10}$

Step 2.3

Simplify the numerator.

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Step 2.3.1

Move $10$ to the left of $π$ .

$\frac{10 \cdot π - 7 π}{10}$

Step 2.3.2

Subtract $7 π$ from $10 π$ .

$\frac{3 π}{10}$