Trigonometry Examples

$\frac{b}{\sin (88.1 °)} = \frac{648}{\sin (0.8 °)}$

Step 1

Multiply both sides of the equation by $\sin (88.1 °)$ .

$\sin (88.1 °) \frac{b}{\sin (88.1 °)} = \sin (88.1 °) \frac{648}{\sin (0.8 °)}$

Step 2

Simplify both sides of the equation.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Cancel the common factor of $\sin (88.1 °)$ .

Tap for more steps...

Step 2.1.1.1

Cancel the common factor.

$\sin (88.1 °) \frac{b}{\sin (88.1 °)} = \sin (88.1 °) \frac{648}{\sin (0.8 °)}$

Step 2.1.1.2

Rewrite the expression.

$b = \sin (88.1 °) \frac{648}{\sin (0.8 °)}$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Simplify $\sin (88.1 °) \frac{648}{\sin (0.8 °)}$ .

Tap for more steps...

Step 2.2.1.1

Separate fractions.

$b = \sin (88.1 °) (\frac{648}{1} \cdot \frac{1}{\sin (0.8 °)})$

Step 2.2.1.2

Convert from $\frac{1}{\sin (0.8 °)}$ to $\csc (0.8 °)$ .

$b = \sin (88.1 °) (\frac{648}{1} \csc (0.8 °))$

Step 2.2.1.3

Divide $648$ by $1$ .

$b = \sin (88.1 °) (648 \csc (0.8 °))$

Step 2.2.1.4

Move $648$ to the left of $\sin (88.1 °)$ .

$b = 648 \sin (88.1 °) \csc (0.8 °)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$b = 648 \sin (88.1 °) \csc (0.8 °)$

Decimal Form:

$b = 46385.57332728 \dots$