Trigonometry Examples

$\sin (x) = - \frac{6}{10} \cdot 18$

Step 1

Simplify $- \frac{6}{10} \cdot 18$ .

Tap for more steps...

Step 1.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.1.1

Move the leading negative in $- \frac{6}{10}$ into the numerator.

$\sin (x) = \frac{- 6}{10} \cdot 18$

Step 1.1.2

Factor $2$ out of $10$ .

$\sin (x) = \frac{- 6}{2 (5)} \cdot 18$

Step 1.1.3

Factor $2$ out of $18$ .

$\sin (x) = \frac{- 6}{2 \cdot 5} \cdot (2 \cdot 9)$

Step 1.1.4

Cancel the common factor.

$\sin (x) = \frac{- 6}{2 \cdot 5} \cdot (2 \cdot 9)$

Step 1.1.5

Rewrite the expression.

$\sin (x) = \frac{- 6}{5} \cdot 9$

Step 1.2

Combine $\frac{- 6}{5}$ and $9$ .

$\sin (x) = \frac{- 6 \cdot 9}{5}$

Step 1.3

Simplify the expression.

Tap for more steps...

Step 1.3.1

Multiply $- 6$ by $9$ .

$\sin (x) = \frac{- 54}{5}$

Step 1.3.2

Move the negative in front of the fraction.

$\sin (x) = - \frac{54}{5}$

Step 2

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

No solution

Step 3