Trigonometry Examples

$(1 - \sin^{2} (x)) \cdot \sec^{2} (x)$

Apply pythagorean identity.

$\cos^{2} (x) \cdot \sec^{2} (x)$

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

$\cos^{2} (x) \cdot {(\frac{1}{\cos (x)})}^{2}$

Apply the product rule to $\frac{1}{\cos (x)}$ .

$\cos^{2} (x) \cdot \frac{1^{2}}{\cos^{2} (x)}$

One to any power is one.

$\cos^{2} (x) \cdot \frac{1}{\cos^{2} (x)}$

Cancel the common factor of $\cos^{2} (x)$ .

Tap for more steps...

Write $\cos^{2} (x)$ as a fraction with denominator $1$ .

$\frac{\cos^{2} (x)}{1} \cdot \frac{1}{\cos^{2} (x)}$

Factor out the greatest common factor $\cos^{2} (x)$ .

$\frac{\cos^{2} (x) \cdot 1}{1} \cdot \frac{1}{\cos^{2} (x) \cdot 1}$

Cancel the common factor.

$\frac{\cos^{2} (x) \cdot 1}{1} \cdot \frac{1}{\cos^{2} (x) \cdot 1}$

Rewrite the expression.

$\frac{1}{1} \cdot \frac{1}{1}$

Simplify.

Tap for more steps...

Multiply $\frac{1}{1}$ and $\frac{1}{1}$ .

$\frac{1}{1}$

Divide $1$ by $1$ .

$1$

Enter YOUR Problem