Trigonometry Examples

Simplify (sin(x)^2-4)/(2cos(x)+1)*(10cos(x)+5)/(2sin(x)+4)
Step 1
Simplify the numerator.
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Step 1.1
Rewrite as .
Step 1.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 2
Simplify terms.
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Step 2.1
Factor out of .
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Step 2.1.1
Factor out of .
Step 2.1.2
Factor out of .
Step 2.1.3
Factor out of .
Step 2.2
Simplify terms.
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Step 2.2.1
Factor out of .
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Step 2.2.1.1
Factor out of .
Step 2.2.1.2
Factor out of .
Step 2.2.1.3
Factor out of .
Step 2.2.2
Cancel the common factor of .
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Step 2.2.2.1
Factor out of .
Step 2.2.2.2
Cancel the common factor.
Step 2.2.2.3
Rewrite the expression.
Step 2.2.3
Cancel the common factor of .
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Step 2.2.3.1
Factor out of .
Step 2.2.3.2
Cancel the common factor.
Step 2.2.3.3
Rewrite the expression.
Step 2.2.4
Apply the distributive property.
Step 2.2.5
Combine and .
Step 2.2.6
Cancel the common factor of .
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Step 2.2.6.1
Factor out of .
Step 2.2.6.2
Cancel the common factor.
Step 2.2.6.3
Rewrite the expression.
Step 2.2.7
Multiply by .
Step 2.3
Move to the left of .