Algebra Examples

$\frac{2 - 2 \sin^{2} (θ)}{\cos (θ)}$

Step 1

Simplify with factoring out.

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Step 1.1

Factor $2$ out of $2$ .

$\frac{2 (1) - 2 \sin^{2} (θ)}{\cos (θ)}$

Step 1.2

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

$\frac{2 (1) + 2 (- \sin^{2} (θ))}{\cos (θ)}$

Step 1.3

Factor $2$ out of $2 (1) + 2 (- \sin^{2} (θ))$ .

$\frac{2 (1 - \sin^{2} (θ))}{\cos (θ)}$

$\frac{2 (1 - \sin^{2} (θ))}{\cos (θ)}$

Step 2

Apply pythagorean identity.

$\frac{2 \cos^{2} (θ)}{\cos (θ)}$

Step 3

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

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Step 3.1

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

$\frac{\cos (θ) (2 \cos (θ))}{\cos (θ)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Multiply by $1$ .

$\frac{\cos (θ) (2 \cos (θ))}{\cos (θ) \cdot 1}$

Step 3.2.2

Cancel the common factor.

$\frac{\cos (θ) (2 \cos (θ))}{\cos (θ) \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{2 \cos (θ)}{1}$

Step 3.2.4

Divide $2 \cos (θ)$ by $1$ .

$2 \cos (θ)$

$2 \cos (θ)$

$2 \cos (θ)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$