Trigonometry Examples

$\frac{4}{5} = \frac{y}{7}$

Step 1

Rewrite the equation as $\frac{y}{7} = \frac{4}{5}$ .

$\frac{y}{7} = \frac{4}{5}$

Step 2

Multiply both sides of the equation by $7$ .

$7 \frac{y}{7} = 7 (\frac{4}{5})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $7$ .

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Step 3.1.1.1

Cancel the common factor.

$7 \frac{y}{7} = 7 (\frac{4}{5})$

Step 3.1.1.2

Rewrite the expression.

$y = 7 (\frac{4}{5})$

$y = 7 (\frac{4}{5})$

$y = 7 (\frac{4}{5})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $7 (\frac{4}{5})$ .

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Step 3.2.1.1

Combine $7$ and $\frac{4}{5}$ .

$y = \frac{7 \cdot 4}{5}$

Step 3.2.1.2

Multiply $7$ by $4$ .

$y = \frac{28}{5}$

$y = \frac{28}{5}$

$y = \frac{28}{5}$

$y = \frac{28}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{28}{5}$

Decimal Form:

$y = 5.6$

Mixed Number Form:

$y = 5 \frac{3}{5}$

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