Trigonometry Examples

$- \frac{π}{4} + \frac{π}{8}$

Step 1

To write $- \frac{π}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{π}{4} \cdot \frac{2}{2} + \frac{π}{8}$

Step 2

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{π}{4}$ by $\frac{2}{2}$ .

$- \frac{π \cdot 2}{4 \cdot 2} + \frac{π}{8}$

Step 2.2

Multiply $4$ by $2$ .

$- \frac{π \cdot 2}{8} + \frac{π}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{- π \cdot 2 + π}{8}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $2$ by $- 1$ .

$\frac{- 2 π + π}{8}$

Step 4.2

Add $- 2 π$ and $π$ .

$\frac{- π}{8}$

Step 5

Move the negative in front of the fraction.

$- \frac{π}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{π}{8}$

Decimal Form:

$- 0.39269908 \dots$