Calculus Examples

$y = 4 \sec (x) - 8 \cos (x)$ , $(\frac{π}{3}, 4)$

Step 1

Simplify $4 \sec (x) - 8 \cos (x)$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Rewrite $\sec (x)$ in terms of sines and cosines.

$y = 4 \frac{1}{\cos (x)} - 8 \cos (x)$

Step 1.1.2

Combine $4$ and $\frac{1}{\cos (x)}$ .

$y = \frac{4}{\cos (x)} - 8 \cos (x)$

Step 1.2

Simplify each term.

Tap for more steps...

Step 1.2.1

Separate fractions.

$y = \frac{4}{1} \cdot \frac{1}{\cos (x)} - 8 \cos (x)$

Step 1.2.2

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

$y = \frac{4}{1} \sec (x) - 8 \cos (x)$

Step 1.2.3

Divide $4$ by $1$ .

$y = 4 \sec (x) - 8 \cos (x)$

Step 2

The equation can not be solved. The given interval accounts for only one variable, but $2$ are present in the equation $y = 4 \sec (x) - 8 \cos (x)$ .

No solution