Trigonometry Examples

$\frac{\sin (- 40)}{\cos (50)}$

Step 1

Rewrite $\frac{\sin (- 40)}{\cos (50)}$ as a product.

$\sin (- 40) \frac{1}{\cos (50)}$

Step 2

Write $\sin (- 40)$ as a fraction with denominator $1$ .

$\frac{\sin (- 40)}{1} \cdot \frac{1}{\cos (50)}$

Step 3

Simplify.

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Step 3.1

Divide $\sin (- 40)$ by $1$ .

$\sin (- 40) \frac{1}{\cos (50)}$

Step 3.2

Convert from $\frac{1}{\cos (50)}$ to $\sec (50)$ .

$\sin (- 40) \sec (50)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sin (- 40) \sec (50)$

Decimal Form:

$- 1.000000000000 \dots$