Trigonometry Examples

Simplify with factoring out.
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Reorder and .
Rewrite as .
Factor out of .
Factor out of .
Rewrite as .
Apply pythagorean identity.
Simplify terms.
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Simplify each term.
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Rewrite in terms of sines and cosines.
Apply the product rule to .
Apply the distributive property.
Multiply .
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Combine and .
Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Add and .
Multiply .
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Multiply by .
Multiply by .
Simplify the expression.
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Rewrite as .
Reorder and .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify terms.
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Simplify each term.
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Factor out of .
Separate fractions.
Convert from to .
Divide by .
Simplify each term.
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Factor out of .
Separate fractions.
Convert from to .
Divide by .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify terms.
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Combine the opposite terms in .
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Reorder the factors in the terms and .
Add and .
Add and .
Simplify each term.
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Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
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