Trigonometry Examples

$\sec^{6} (x) (\sec (x) \tan (x))$

Step 1

Move $\sec (x)$ .

$\sec (x) \sec^{6} (x) \tan (x)$

Step 2

Multiply $\sec (x)$ by $\sec^{6} (x)$ .

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Step 2.1

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

$\sec^{1} (x) \sec^{6} (x) \tan (x)$

Step 2.2

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

${\sec (x)}^{1 + 6} \tan (x)$

Step 3

Add $1$ and $6$ .

$\sec^{7} (x) \tan (x)$