Finite Math Examples

$\frac{- 7 \sin (76)}{\cos (38) \cdot \cos (52)}$

Step 1

Separate fractions.

$\frac{- 7}{\cos (52)} \cdot \frac{\sin (76)}{\cos (38)}$

Step 2

Rewrite $\frac{\sin (76)}{\cos (38)}$ as a product.

$\frac{- 7}{\cos (52)} (\sin (76) \frac{1}{\cos (38)})$

Step 3

Write $\sin (76)$ as a fraction with denominator $1$ .

$\frac{- 7}{\cos (52)} (\frac{\sin (76)}{1} \cdot \frac{1}{\cos (38)})$

Step 4

Simplify.

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Step 4.1

Divide $\sin (76)$ by $1$ .

$\frac{- 7}{\cos (52)} (\sin (76) \frac{1}{\cos (38)})$

Step 4.2

Convert from $\frac{1}{\cos (38)}$ to $\sec (38)$ .

$\frac{- 7}{\cos (52)} (\sin (76) \sec (38))$

Step 5

Separate fractions.

$\frac{- 7}{1} \cdot \frac{1}{\cos (52)} (\sin (76) \sec (38))$

Step 6

Convert from $\frac{1}{\cos (52)}$ to $\sec (52)$ .

$\frac{- 7}{1} \sec (52) (\sin (76) \sec (38))$

Step 7

Divide $- 7$ by $1$ .

$- 7 \sec (52) \sin (76) \sec (38)$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- 7 \sec (52) \sin (76) \sec (38)$

Decimal Form:

$- 14$