Trigonometry Examples

$x - \frac{π}{4} = π$

Step 1

Add $\frac{π}{4}$ to both sides of the equation.

$x = π + \frac{π}{4}$

Step 2

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

$x = π \cdot \frac{4}{4} + \frac{π}{4}$

Step 3

Combine $π$ and $\frac{4}{4}$ .

$x = \frac{π \cdot 4}{4} + \frac{π}{4}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{π \cdot 4 + π}{4}$

Step 5

Simplify the numerator.

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Step 5.1

Move $4$ to the left of $π$ .

$x = \frac{4 \cdot π + π}{4}$

Step 5.2

Add $4 π$ and $π$ .

$x = \frac{5 π}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5 π}{4}$

Decimal Form:

$x = 3.92699081 \dots$