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

Write $1$ as a fraction with a common denominator.

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

Step 1.4

Combine the numerators over the common denominator.

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

Step 1.5

Subtract $1$ from $2$ .

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

Step 2

Set the numerator equal to zero.

$1 = 0$

Step 3

Since $1 \neq 0$ , there are no solutions.

No solution