Trigonometry Examples

$\frac{\sin (77) \cdot 22.7}{\sin (10)}$

Step 1

Separate fractions.

$\frac{22.7}{1} \cdot \frac{\sin (77)}{\sin (10)}$

Step 2

Rewrite $\frac{\sin (77)}{\sin (10)}$ as a product.

$\frac{22.7}{1} (\sin (77) \frac{1}{\sin (10)})$

Step 3

Write $\sin (77)$ as a fraction with denominator $1$ .

$\frac{22.7}{1} (\frac{\sin (77)}{1} \cdot \frac{1}{\sin (10)})$

Step 4

Simplify.

Tap for more steps...

Step 4.1

Divide $\sin (77)$ by $1$ .

$\frac{22.7}{1} (\sin (77) \frac{1}{\sin (10)})$

Step 4.2

Convert from $\frac{1}{\sin (10)}$ to $\csc (10)$ .

$\frac{22.7}{1} (\sin (77) \csc (10))$

Step 5

Divide $22.7$ by $1$ .

$22.7 (\sin (77) \csc (10))$

Step 6

Evaluate $\sin (77)$ .

$22.7 (0.97437006 \csc (10))$

Step 7

Evaluate $\csc (10)$ .

$22.7 (0.97437006 \cdot 5.75877048)$

Step 8

Multiply $22.7 (0.97437006 \cdot 5.75877048)$ .

Tap for more steps...

Step 8.1

Multiply $0.97437006$ by $5.75877048$ .

$22.7 \cdot 5.61117356$

Step 8.2

Multiply $22.7$ by $5.61117356$ .

$127.37364001$