Trigonometry Examples

Simplify 1/(cos(x)^2)-1/(cot(x)^2)
Step 1
Simplify terms.
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Step 1.1
Simplify each term.
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Step 1.1.1
Rewrite as .
Step 1.1.2
Rewrite as .
Step 1.1.3
Rewrite in terms of sines and cosines.
Step 1.1.4
Multiply by the reciprocal of the fraction to divide by .
Step 1.1.5
Write as a fraction with denominator .
Step 1.1.6
Simplify.
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Step 1.1.6.1
Rewrite the expression.
Step 1.1.6.2
Multiply by .
Step 1.1.7
Apply the product rule to .
Step 1.2
Combine the numerators over the common denominator.
Step 2
Apply pythagorean identity.
Step 3
Cancel the common factor of .
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Step 3.1
Cancel the common factor.
Step 3.2
Rewrite the expression.