Trigonometry Examples

$\sin (2) x = \frac{\sqrt{2}}{2}$

Step 1

Divide each term in $0.03489949 x = \frac{\sqrt{2}}{2}$ by $0.03489949$ and simplify.

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Step 1.1

Divide each term in $0.03489949 x = \frac{\sqrt{2}}{2}$ by $0.03489949$ .

$\frac{0.03489949 x}{0.03489949} = \frac{\frac{\sqrt{2}}{2}}{0.03489949}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $0.03489949$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{0.03489949 x}{0.03489949} = \frac{\frac{\sqrt{2}}{2}}{0.03489949}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{\sqrt{2}}{2}}{0.03489949}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{\sqrt{2}}{2} \cdot \frac{1}{0.03489949}$

Step 1.3.2

Divide $1$ by $0.03489949$ .

$x = \frac{\sqrt{2}}{2} \cdot 28.65370834$

Step 1.3.3

Multiply $\frac{\sqrt{2}}{2} \cdot 28.65370834$ .

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Step 1.3.3.1

Combine $\frac{\sqrt{2}}{2}$ and $28.65370834$ .

$x = \frac{\sqrt{2} \cdot 28.65370834}{2}$

Step 1.3.3.2

Multiply $\sqrt{2}$ by $28.65370834$ .

$x = \frac{40.52246295}{2}$

Step 1.3.4

Divide $40.52246295$ by $2$ .

$x = 20.26123147$

Step 2

Since $x = 20.26123147$ is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step 3

Find two points on the line.

$\begin{array}{c} x & y \\ 20.261 & 0 \\ 20.261 & 1 \end{array}$

Step 4

Graph the line using the slope, y-intercept, and two points.

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ 20.261 & 0 \\ 20.261 & 1 \end{array}$

Step 5