Finite Math Examples

$\frac{b}{\sin (87.3)} = \frac{678}{\sin (1.6)}$

Step 1

Multiply both sides of the equation by $\sin (87.3)$ .

$\sin (87.3) \frac{b}{\sin (87.3)} = \sin (87.3) \frac{678}{\sin (1.6)}$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $\sin (87.3)$ .

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Step 2.1.1.1

Cancel the common factor.

$\sin (87.3) \frac{b}{\sin (87.3)} = \sin (87.3) \frac{678}{\sin (1.6)}$

Step 2.1.1.2

Rewrite the expression.

$b = \sin (87.3) \frac{678}{\sin (1.6)}$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\sin (87.3) \frac{678}{\sin (1.6)}$ .

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Step 2.2.1.1

Separate fractions.

$b = \sin (87.3) (\frac{678}{1} \cdot \frac{1}{\sin (1.6)})$

Step 2.2.1.2

Convert from $\frac{1}{\sin (1.6)}$ to $\csc (1.6)$ .

$b = \sin (87.3) (\frac{678}{1} \csc (1.6))$

Step 2.2.1.3

Divide $678$ by $1$ .

$b = \sin (87.3) (678 \csc (1.6))$

Step 2.2.1.4

Move $678$ to the left of $\sin (87.3)$ .

$b = 678 \sin (87.3) \csc (1.6)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$b = 678 \sin (87.3) \csc (1.6)$

Decimal Form:

$b = 24255.28608578 \dots$