Trigonometry Examples

$\tan (x) \tan (x) + \tan (y) \tan (y)$

Step 1

Multiply $\tan (x) \tan (x)$ .

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Step 1.1

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

$\tan^{1} (x) \tan (x) + \tan (y) \tan (y)$

Step 1.2

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

$\tan^{1} (x) \tan^{1} (x) + \tan (y) \tan (y)$

Step 1.3

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

${\tan (x)}^{1 + 1} + \tan (y) \tan (y)$

Step 1.4

Add $1$ and $1$ .

$\tan^{2} (x) + \tan (y) \tan (y)$

Step 2

Multiply $\tan (y) \tan (y)$ .

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Step 2.1

Raise $\tan (y)$ to the power of $1$ .

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

Step 2.2

Raise $\tan (y)$ to the power of $1$ .

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

Step 2.3

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

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

Step 2.4

Add $1$ and $1$ .

$\tan^{2} (x) + \tan^{2} (y)$