Precalculus Examples

$3 = \frac{π}{2} + 2 π n$ , $\frac{3 π}{2} + 2 π n$

Step 1

Rewrite the equation as $\frac{π}{2} + 2 π n = 3$ .

$\frac{π}{2} + 2 π n = 3$

Step 2

Move all terms not containing $`$ to the right side of the equation.

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Step 2.1

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

$2 π n = 3 - \frac{π}{2}$

Step 2.2

Subtract $2 π n$ from both sides of the equation.

$0 = 3 - \frac{π}{2} - 2 π n$

Step 3

Rewrite the equation as $3 - \frac{π}{2} - 2 π n = 0$ .

$3 - \frac{π}{2} - 2 π n = 0$

Step 4

Replace the variable $3 - \frac{π}{2} - 2 π n$ with $0$ in the expression.

$\frac{3 π}{2} + 2 π n$