Trigonometry Examples

Simplify (sec(x)^2-1)/(csc(x)^2-1)
Step 1
Apply pythagorean identity.
Step 2
Apply pythagorean identity.
Step 3
Rewrite as .
Step 4
Rewrite in terms of sines and cosines.
Step 5
Rewrite in terms of sines and cosines.
Step 6
Multiply by the reciprocal of the fraction to divide by .
Step 7
Simplify.
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Step 7.1
Convert from to .
Step 7.2
Convert from to .
Step 7.3
Raise to the power of .
Step 7.4
Raise to the power of .
Step 7.5
Use the power rule to combine exponents.
Step 7.6
Add and .
Step 8
Multiply the exponents in .
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Step 8.1
Apply the power rule and multiply exponents, .
Step 8.2
Multiply by .