Simplify (cos(theta))/(1-sin(theta))-tan(theta)

Math
Rewrite in terms of sines and cosines.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Combine.
Combine.
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify the numerator.
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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 .
Apply the distributive property.
Multiply by .
Multiply .
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Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Move .
Apply pythagorean identity.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Convert from to .
Simplify (cos(theta))/(1-sin(theta))-tan(theta)

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