Trigonometry Examples

Simplify (sec(x)^2-9)/(3+sec(x))-sec(x)
Step 1
Simplify each term.
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Step 1.1
Simplify the numerator.
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Step 1.1.1
Rewrite as .
Step 1.1.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.2
Cancel the common factor of and .
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Step 1.2.1
Reorder terms.
Step 1.2.2
Cancel the common factor.
Step 1.2.3
Divide by .
Step 2
Combine the opposite terms in .
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Step 2.1
Subtract from .
Step 2.2
Subtract from .