Algebra Examples

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

Step 1

Rearrange terms.

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

Step 2

Apply pythagorean identity.

$1 - \sec (θ) \cos (θ)$

Step 3

Simplify terms.

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Step 3.1

Simplify each term.

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Step 3.1.1

Rewrite in terms of sines and cosines, then cancel the common factors.

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Step 3.1.1.1

Add parentheses.

$1 - (\sec (θ) \cos (θ))$

Step 3.1.1.2

Rewrite $- \sec (θ) \cos (θ)$ in terms of sines and cosines.

$1 - (\frac{1}{\cos (θ)} \cos (θ))$

Step 3.1.1.3

Cancel the common factors.

$1 - 1 \cdot 1$

Step 3.1.2

Multiply $- 1$ by $1$ .

$1 - 1$

Step 3.2

Subtract $1$ from $1$ .

$0$