Trigonometry Examples

$\frac{12}{\sin (90)} = \frac{14}{\sin (x)}$

Step 1

Simplify $\frac{12}{\sin (90)}$ .

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Step 1.1

Separate fractions.

$\frac{12}{1} \cdot \frac{1}{\sin (90)} = \frac{14}{\sin (x)}$

Step 1.2

Convert from $\frac{1}{\sin (90)}$ to $\csc (90)$ .

$\frac{12}{1} \csc (90) = \frac{14}{\sin (x)}$

Step 1.3

Divide $12$ by $1$ .

$12 \csc (90) = \frac{14}{\sin (x)}$

Step 1.4

The exact value of $\csc (90)$ is $1$ .

$12 \cdot 1 = \frac{14}{\sin (x)}$

Step 1.5

Multiply $12$ by $1$ .

$12 = \frac{14}{\sin (x)}$

Step 2

Simplify $\frac{14}{\sin (x)}$ .

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Step 2.1

Separate fractions.

$12 = \frac{14}{1} \cdot \frac{1}{\sin (x)}$

Step 2.2

Convert from $\frac{1}{\sin (x)}$ to $\csc (x)$ .

$12 = \frac{14}{1} \csc (x)$

Step 2.3

Divide $14$ by $1$ .

$12 = 14 \csc (x)$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

Step 4