Precalculus Examples

$\sin (310) \csc (- 50)$

Step 1

Rewrite $\csc (- 50)$ in terms of sines and cosines.

$\sin (310) \frac{1}{\sin (- 50)}$

Step 2

Combine $\sin (310)$ and $\frac{1}{\sin (- 50)}$ .

$\frac{\sin (310)}{\sin (- 50)}$

Step 3

Rewrite $\frac{\sin (310)}{\sin (- 50)}$ as a product.

$\sin (310) \frac{1}{\sin (- 50)}$

Step 4

Write $\sin (310)$ as a fraction with denominator $1$ .

$\frac{\sin (310)}{1} \cdot \frac{1}{\sin (- 50)}$

Step 5

Simplify.

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Step 5.1

Divide $\sin (310)$ by $1$ .

$\sin (310) \frac{1}{\sin (- 50)}$

Step 5.2

Convert from $\frac{1}{\sin (- 50)}$ to $\csc (- 50)$ .

$\sin (310) \csc (- 50)$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\sin (310) \csc (- 50)$

Decimal Form:

$1$