Algebra Examples

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

Step 1

Apply pythagorean identity.

$1 + \tan^{2} (θ) - 1$

Step 2

Combine the opposite terms in $1 + \tan^{2} (θ) - 1$ .

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Step 2.1

Subtract $1$ from $1$ .

$0 + \tan^{2} (θ)$

Step 2.2

Add $0$ and $\tan^{2} (θ)$ .

$\tan^{2} (θ)$

Step 3

Rewrite $\tan (θ)$ in terms of sines and cosines.

${(\frac{\sin (θ)}{\cos (θ)})}^{2}$

Step 4

Apply the product rule to $\frac{\sin (θ)}{\cos (θ)}$ .

$\frac{\sin^{2} (θ)}{\cos^{2} (θ)}$

Step 5

Convert from $\frac{\sin^{2} (θ)}{\cos^{2} (θ)}$ to $\tan^{2} (θ)$ .

$\tan^{2} (θ)$