Trigonometry Examples

${\sin (x)}^{y} {\cos (y)}^{x} (y) y \cdot y$

Multiply $y$ by $y$ by adding the exponents.

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Move $y$ .

${\sin (x)}^{y} {\cos (y)}^{x} (y \cdot y) y$

Multiply $y$ by $y$ .

${\sin (x)}^{y} {\cos (y)}^{x} y^{2} y$

Multiply $y^{2}$ by $y$ by adding the exponents.

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Move $y$ .

${\sin (x)}^{y} {\cos (y)}^{x} (y \cdot y^{2})$

Multiply $y$ by $y^{2}$ .

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Raise $y$ to the power of $1$ .

${\sin (x)}^{y} {\cos (y)}^{x} (y^{1} y^{2})$

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

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

Add $1$ and $2$ .

${\sin (x)}^{y} {\cos (y)}^{x} y^{3}$

Reorder factors in ${\sin (x)}^{y} {\cos (y)}^{x} y^{3}$ .

$y^{3} {\sin (x)}^{y} {\cos (y)}^{x}$