Trigonometry Examples

$x + \frac{π}{2} = 2 π$

Step 1

Subtract $\frac{π}{2}$ from both sides of the equation.

$x = 2 π - \frac{π}{2}$

Step 2

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

$x = 2 π \cdot \frac{2}{2} - \frac{π}{2}$

Step 3

Combine $2 π$ and $\frac{2}{2}$ .

$x = \frac{2 π \cdot 2}{2} - \frac{π}{2}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{2 π \cdot 2 - π}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $2$ by $2$ .

$x = \frac{4 π - π}{2}$

Step 5.2

Subtract $π$ from $4 π$ .

$x = \frac{3 π}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3 π}{2}$

Decimal Form:

$x = 4.71238898 \dots$