Precalculus Examples

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $\sec (x) \sec (x)$ .

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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

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

Step 2.4

Add $1$ and $1$ .

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

Step 3

Rewrite $- 1 \sec (x)$ as $- \sec (x)$ .

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