Algebra Examples

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

Step 1

Move $\sin^{2} (x)$ .

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

Step 2

Rearrange terms.

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

Step 3

Apply pythagorean identity.

$1 + \cos (x) - 1$

Step 4

Combine the opposite terms in $1 + \cos (x) - 1$ .

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Step 4.1

Subtract $1$ from $1$ .

$0 + \cos (x)$

Step 4.2

Add $0$ and $\cos (x)$ .

$\cos (x)$