Trigonometry Examples

Simplify (sec(x)^2-tan(x)^2)/(cot(x)^2-csc(x)^2)
Step 1
Apply pythagorean identity.
Step 2
Simplify with factoring out.
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Step 2.1
Reorder and .
Step 2.2
Factor out of .
Step 2.3
Factor out of .
Step 2.4
Factor out of .
Step 3
Apply pythagorean identity.
Step 4
Reduce the expression by cancelling the common factors.
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Step 4.1
Cancel the common factor of .
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Step 4.1.1
Cancel the common factor.
Step 4.1.2
Rewrite the expression.
Step 4.1.3
Move the negative one from the denominator of .
Step 4.2
Multiply by .