Trigonometry Examples

$1 - \cos (A) (1 + \cos (A))$

Step 1

Apply the distributive property.

$1 - \cos (A) \cdot 1 - \cos (A) \cos (A)$

Step 2

Multiply $- 1$ by $1$ .

$1 - \cos (A) - \cos (A) \cos (A)$

Step 3

Multiply $- \cos (A) \cos (A)$ .

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Step 3.1

Raise $\cos (A)$ to the power of $1$ .

$1 - \cos (A) - (\cos^{1} (A) \cos (A))$

Step 3.2

Raise $\cos (A)$ to the power of $1$ .

$1 - \cos (A) - (\cos^{1} (A) \cos^{1} (A))$

Step 3.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$1 - \cos (A) - {\cos (A)}^{1 + 1}$

Step 3.4

Add $1$ and $1$ .

$1 - \cos (A) - \cos^{2} (A)$