Algebra Examples

$\frac{\tan^{2} (θ) + 1}{\sec (θ)}$

Step 1

Apply pythagorean identity.

$\frac{\sec^{2} (θ)}{\sec (θ)}$

Step 2

Cancel the common factor of $\sec^{2} (θ)$ and $\sec (θ)$ .

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Step 2.1

Factor $\sec (θ)$ out of $\sec^{2} (θ)$ .

$\frac{\sec (θ) \sec (θ)}{\sec (θ)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{\sec (θ) \sec (θ)}{\sec (θ) \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{\sec (θ) \sec (θ)}{\sec (θ) \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{\sec (θ)}{1}$

Step 2.2.4

Divide $\sec (θ)$ by $1$ .

$\sec (θ)$