Trigonometry Examples

$\frac{1}{2} x = \frac{π}{2}$

Step 1

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} x) = 2 \frac{π}{2}$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $2 (\frac{1}{2} x)$ .

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Step 2.1.1.1

Combine $\frac{1}{2}$ and $x$ .

$2 \frac{x}{2} = 2 \frac{π}{2}$

Step 2.1.1.2

Cancel the common factor of $2$ .

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Step 2.1.1.2.1

Cancel the common factor.

$2 \frac{x}{2} = 2 \frac{π}{2}$

Step 2.1.1.2.2

Rewrite the expression.

$x = 2 \frac{π}{2}$

$x = 2 \frac{π}{2}$

$x = 2 \frac{π}{2}$

$x = 2 \frac{π}{2}$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$x = 2 \frac{π}{2}$

Step 2.2.1.2

Rewrite the expression.

$x = π$

$x = π$

$x = π$

$x = π$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = π$

Decimal Form:

$x = 3.14159265 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$