Precalculus Examples

Simplify (cos(x))(tan(x)+sin(x)cot(x))
Step 1
Simplify each term.
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Step 1.1
Rewrite in terms of sines and cosines.
Step 1.2
Rewrite in terms of sines and cosines, then cancel the common factors.
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Step 1.2.1
Reorder and .
Step 1.2.2
Rewrite in terms of sines and cosines.
Step 1.2.3
Cancel the common factors.
Step 2
Simplify terms.
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Step 2.1
Apply the distributive property.
Step 2.2
Cancel the common factor of .
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Step 2.2.1
Cancel the common factor.
Step 2.2.2
Rewrite the expression.
Step 3
Multiply .
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Step 3.1
Raise to the power of .
Step 3.2
Raise to the power of .
Step 3.3
Use the power rule to combine exponents.
Step 3.4
Add and .