Trigonometry Examples

$\frac{\frac{π}{4} + \frac{π}{2}}{2}$

Step 1

Simplify the numerator.

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Step 1.1

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

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

Step 1.2

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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Step 1.2.1

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

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

Step 1.2.2

Multiply $2$ by $2$ .

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

Step 1.3

Combine the numerators over the common denominator.

$\frac{\frac{π + π \cdot 2}{4}}{2}$

Step 1.4

Rewrite $\frac{π + π \cdot 2}{4}$ in a factored form.

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Step 1.4.1

Move $2$ to the left of $π$ .

$\frac{\frac{π + 2 \cdot π}{4}}{2}$

Step 1.4.2

Add $π$ and $2 π$ .

$\frac{\frac{3 π}{4}}{2}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{3 π}{4} \cdot \frac{1}{2}$

Step 3

Multiply $\frac{3 π}{4} \cdot \frac{1}{2}$ .

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Step 3.1

Multiply $\frac{3 π}{4}$ by $\frac{1}{2}$ .

$\frac{3 π}{4 \cdot 2}$

Step 3.2

Multiply $4$ by $2$ .

$\frac{3 π}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3 π}{8}$

Decimal Form:

$1.17809724 \dots$