Trigonometry Examples

$\frac{\sin (100)}{22} = \frac{\sin (45)}{x}$

Step 1

Simplify $\frac{\sin (100)}{22}$ .

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Step 1.1

Evaluate $\sin (100)$ .

$\frac{0.98480775}{22} = \frac{\sin (45)}{x}$

Step 1.2

Divide $0.98480775$ by $22$ .

$0.04476398 = \frac{\sin (45)}{x}$

Step 2

Simplify $\frac{\sin (45)}{x}$ .

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Step 2.1

The exact value of $\sin (45)$ is $\frac{\sqrt{2}}{2}$ .

$0.04476398 = \frac{\frac{\sqrt{2}}{2}}{x}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

$0.04476398 = \frac{\sqrt{2}}{2} \cdot \frac{1}{x}$

Step 2.3

Multiply $\frac{\sqrt{2}}{2}$ by $\frac{1}{x}$ .

$0.04476398 = \frac{\sqrt{2}}{2 x}$

Step 3

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

$x \approx - 36.96909179$

Step 4