Trigonometry Examples

Simplify (csc(-x))/(1+tan(x)^2)
Step 1
Rearrange terms.
Step 2
Apply pythagorean identity.
Step 3
Factor out of .
Step 4
Separate fractions.
Step 5
Rewrite in terms of sines and cosines.
Step 6
Rewrite in terms of sines and cosines.
Step 7
Multiply by the reciprocal of the fraction to divide by .
Step 8
Write as a fraction with denominator .
Step 9
Simplify.
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Step 9.1
Divide by .
Step 9.2
Convert from to .
Step 10
Rewrite in terms of sines and cosines.
Step 11
Multiply by the reciprocal of the fraction to divide by .
Step 12
Multiply by .
Step 13
Since is an odd function, rewrite as .
Step 14
Rewrite using the commutative property of multiplication.
Step 15
Multiply .
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Step 15.1
Raise to the power of .
Step 15.2
Raise to the power of .
Step 15.3
Use the power rule to combine exponents.
Step 15.4
Add and .