Precalculus Examples

Simplify (1+cot(x))(1-cot(x))-csc(x)^2
Step 1
Simplify terms.
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Step 1.1
Simplify each term.
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Step 1.1.1
Expand using the FOIL Method.
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Step 1.1.1.1
Apply the distributive property.
Step 1.1.1.2
Apply the distributive property.
Step 1.1.1.3
Apply the distributive property.
Step 1.1.2
Simplify and combine like terms.
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Step 1.1.2.1
Simplify each term.
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Step 1.1.2.1.1
Multiply by .
Step 1.1.2.1.2
Multiply by .
Step 1.1.2.1.3
Multiply by .
Step 1.1.2.1.4
Rewrite using the commutative property of multiplication.
Step 1.1.2.1.5
Multiply .
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Step 1.1.2.1.5.1
Raise to the power of .
Step 1.1.2.1.5.2
Raise to the power of .
Step 1.1.2.1.5.3
Use the power rule to combine exponents.
Step 1.1.2.1.5.4
Add and .
Step 1.1.2.2
Add and .
Step 1.1.2.3
Add and .
Step 1.2
Simplify with factoring out.
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Step 1.2.1
Move .
Step 1.2.2
Reorder and .
Step 1.2.3
Factor out of .
Step 1.2.4
Rewrite as .
Step 1.2.5
Factor out of .
Step 2
Apply pythagorean identity.
Step 3
Subtract from .