Trigonometry Examples

$\frac{11}{\sin (57)} = \frac{19}{\sin (B)}$

Step 1

Simplify $\frac{11}{\sin (57)}$ .

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Step 1.1

Separate fractions.

$\frac{11}{1} \cdot \frac{1}{\sin (57)} = \frac{19}{\sin (B)}$

Step 1.2

Convert from $\frac{1}{\sin (57)}$ to $\csc (57)$ .

$\frac{11}{1} \csc (57) = \frac{19}{\sin (B)}$

Step 1.3

Divide $11$ by $1$ .

$11 \csc (57) = \frac{19}{\sin (B)}$

Step 1.4

Evaluate $\csc (57)$ .

$11 \cdot 1.19236329 = \frac{19}{\sin (B)}$

Step 1.5

Multiply $11$ by $1.19236329$ .

$13.11599622 = \frac{19}{\sin (B)}$

Step 2

Simplify $\frac{19}{\sin (B)}$ .

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Step 2.1

Separate fractions.

$13.11599622 = \frac{19}{1} \cdot \frac{1}{\sin (B)}$

Step 2.2

Convert from $\frac{1}{\sin (B)}$ to $\csc (B)$ .

$13.11599622 = \frac{19}{1} \csc (B)$

Step 2.3

Divide $19$ by $1$ .

$13.11599622 = 19 \csc (B)$

Step 3

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

$B \approx 0.8531802 + 2 π n, 2.28841244 + 2 π n$ , for any integer $n$

Step 4