Trigonometry Examples

$1 + \sin (x) (1 - \sin (x))$

Step 1

Apply the distributive property.

$1 + \sin (x) \cdot 1 + \sin (x) (- \sin (x))$

Step 2

Multiply $\sin (x)$ by $1$ .

$1 + \sin (x) + \sin (x) (- \sin (x))$

Step 3

Rewrite using the commutative property of multiplication.

$1 + \sin (x) - \sin (x) \sin (x)$

Step 4

Multiply $- \sin (x) \sin (x)$ .

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Step 4.1

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

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

Step 4.2

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

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

Step 4.3

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

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

Step 4.4

Add $1$ and $1$ .

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