Trigonometry Examples

$\sin (x) = 2 (\frac{7}{25}) (\frac{24}{25})$

Step 1

Subtract $2 (\frac{7}{25}) (\frac{24}{25})$ from both sides of the equation.

$\sin (x) - 2 (\frac{7}{25}) \frac{24}{25} = 0$

Step 2

Simplify each term.

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Step 2.1

Multiply $- 2 (\frac{7}{25})$ .

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Step 2.1.1

Combine $- 2$ and $\frac{7}{25}$ .

$\sin (x) + \frac{- 2 \cdot 7}{25} \cdot \frac{24}{25} = 0$

Step 2.1.2

Multiply $- 2$ by $7$ .

$\sin (x) + \frac{- 14}{25} \cdot \frac{24}{25} = 0$

Step 2.2

Move the negative in front of the fraction.

$\sin (x) - \frac{14}{25} \cdot \frac{24}{25} = 0$

Step 2.3

Multiply $- \frac{14}{25} \cdot \frac{24}{25}$ .

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Step 2.3.1

Multiply $\frac{24}{25}$ by $\frac{14}{25}$ .

$\sin (x) - \frac{24 \cdot 14}{25 \cdot 25} = 0$

Step 2.3.2

Multiply $24$ by $14$ .

$\sin (x) - \frac{336}{25 \cdot 25} = 0$

Step 2.3.3

Multiply $25$ by $25$ .

$\sin (x) - \frac{336}{625} = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.