Simplify cos(theta)^2+sin(theta)^2-sec(theta)cos(theta) ?

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

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.

Simplify each term.

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

Add parentheses.

$1 - (\sec (θ) \cos (θ))$

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

$1 - (\frac{1}{\cos (θ)} \cos (θ))$

Cancel the common factors.

$1 - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$1 - 1$

Subtract $1$ from $1$ .

$0$