Algebra Examples

$\sin (θ) - \sin (θ) \cos^{2} (θ)$

Step 1

Multiply by $1$ .

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

Step 2

Simplify with factoring out.

Tap for more steps...

Step 2.1

Factor $\sin (θ)$ out of $- \sin (θ) \cos^{2} (θ)$ .

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

Step 2.2

Factor $\sin (θ)$ out of $\sin (θ) \cdot 1 + \sin (θ) (- 1 \cos^{2} (θ))$ .

$\sin (θ) \cdot (1 - 1 \cos^{2} (θ))$

Step 2.3

Rewrite $- 1 \cos^{2} (θ)$ as $- \cos^{2} (θ)$ .

$\sin (θ) \cdot (1 - \cos^{2} (θ))$

Step 3

Apply pythagorean identity.

$\sin (θ) \cdot \sin^{2} (θ)$

Step 4

Multiply $\sin (θ)$ by $\sin^{2} (θ)$ by adding the exponents.

Tap for more steps...

Step 4.1

Multiply $\sin (θ)$ by $\sin^{2} (θ)$ .

Tap for more steps...

Step 4.1.1

Raise $\sin (θ)$ to the power of $1$ .

$\sin^{1} (θ) \cdot \sin^{2} (θ)$

Step 4.1.2

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

${\sin (θ)}^{1 + 2}$

Step 4.2

Add $1$ and $2$ .

$\sin^{3} (θ)$