Precalculus Examples

Simplify (sec(x)-1)(sec(x)+1)
Step 1
Expand using the FOIL Method.
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Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 2
Simplify terms.
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Step 2.1
Combine the opposite terms in .
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Step 2.1.1
Reorder the factors in the terms and .
Step 2.1.2
Subtract from .
Step 2.1.3
Add and .
Step 2.2
Simplify each term.
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Step 2.2.1
Multiply .
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Step 2.2.1.1
Raise to the power of .
Step 2.2.1.2
Raise to the power of .
Step 2.2.1.3
Use the power rule to combine exponents.
Step 2.2.1.4
Add and .
Step 2.2.2
Multiply by .
Step 3
Apply pythagorean identity.