Algebra Examples

$θ = 45 °$

Step 1

Apply the formula $\frac{y}{x} = \tan (θ)$ .

$\frac{y}{x} = \tan (45 °)$

Step 2

Solve for $y$ .

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Step 2.1

Multiply both sides by $x$ .

$\frac{y}{x} x = \tan (45 °) x$

Step 2.2

Simplify.

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Step 2.2.1

Simplify the left side.

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Step 2.2.1.1

Cancel the common factor of $x$ .

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Step 2.2.1.1.1

Cancel the common factor.

$\frac{y}{x} x = \tan (45 °) x$

Step 2.2.1.1.2

Rewrite the expression.

$y = \tan (45 °) x$

$y = \tan (45 °) x$

$y = \tan (45 °) x$

Step 2.2.2

Simplify the right side.

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Step 2.2.2.1

Simplify $\tan (45 °) x$ .

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Step 2.2.2.1.1

The exact value of $\tan (45 °)$ is $1$ .

$y = 1 x$

Step 2.2.2.1.2

Multiply $x$ by $1$ .

$y = x$

$y = x$

$y = x$

$y = x$

$y = x$

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