Algebra Examples

$\sin (30) = - 1$

Step 1

Move all terms not containing a variable to the right side of the equation.

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Step 1.1

Subtract $\sin (30)$ from both sides of the equation.

$0 = - 1 - \sin (30)$

Step 1.2

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

$0 = - 1 - \frac{1}{2}$

Step 1.3

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$0 = - 1 \cdot \frac{2}{2} - \frac{1}{2}$

Step 1.4

Combine $- 1$ and $\frac{2}{2}$ .

$0 = \frac{- 1 \cdot 2}{2} - \frac{1}{2}$

Step 1.5

Combine the numerators over the common denominator.

$0 = \frac{- 1 \cdot 2 - 1}{2}$

Step 1.6

Simplify the numerator.

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Step 1.6.1

Multiply $- 1$ by $2$ .

$0 = \frac{- 2 - 1}{2}$

Step 1.6.2

Subtract $1$ from $- 2$ .

$0 = \frac{- 3}{2}$

Step 1.7

Move the negative in front of the fraction.

$0 = - \frac{3}{2}$

Step 2

Set the numerator equal to zero.

$3 = 0$

Step 3

Since $3 \neq 0$ , there are no solutions.

No solution