Algebra Examples

$(\tan^{2} (θ) - \sec^{2} (θ)) (\sin^{2} (θ) + \cos^{2} (θ))$

Step 1

Simplify with factoring out.

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Step 1.1

Reorder $\tan^{2} (θ)$ and $- \sec^{2} (θ)$ .

$(- \sec^{2} (θ) + \tan^{2} (θ)) (\sin^{2} (θ) + \cos^{2} (θ))$

Step 1.2

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

$(- (\sec^{2} (θ)) + \tan^{2} (θ)) (\sin^{2} (θ) + \cos^{2} (θ))$

Step 1.3

Factor $- 1$ out of $\tan^{2} (θ)$ .

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

Step 1.4

Factor $- 1$ out of $- (\sec^{2} (θ)) - 1 (- \tan^{2} (θ))$ .

$- (\sec^{2} (θ) - \tan^{2} (θ)) (\sin^{2} (θ) + \cos^{2} (θ))$

Step 2

Apply pythagorean identity.

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

Step 3

Multiply $- 1$ by $1$ .

$- 1 (\sin^{2} (θ) + \cos^{2} (θ))$

Step 4

Apply pythagorean identity.

$- 1 \cdot 1$

Step 5

Multiply $- 1$ by $1$ .

$- 1$