Trigonometry Examples

$\csc (x) (\csc (x) + \cot (x))$

Step 1

Apply the distributive property.

$\csc (x) \csc (x) + \csc (x) \cot (x)$

Step 2

Multiply $\csc (x) \csc (x)$ .

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Step 2.1

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

$\csc^{1} (x) \csc (x) + \csc (x) \cot (x)$

Step 2.2

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

$\csc^{1} (x) \csc^{1} (x) + \csc (x) \cot (x)$

Step 2.3

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

${\csc (x)}^{1 + 1} + \csc (x) \cot (x)$

Step 2.4

Add $1$ and $1$ .

$\csc^{2} (x) + \csc (x) \cot (x)$