Trigonometry Examples

Simplify (sec(x)^2)/(tan(x)+cot(x)^2tan(x))
Step 1
Simplify the denominator.
Tap for more steps...
Step 1.1
Factor out of .
Tap for more steps...
Step 1.1.1
Multiply by .
Step 1.1.2
Factor out of .
Step 1.1.3
Factor out of .
Step 1.2
Apply pythagorean identity.
Step 2
Separate fractions.
Step 3
Rewrite in terms of sines and cosines.
Step 4
Multiply by the reciprocal of the fraction to divide by .
Step 5
Convert from to .
Step 6
Rewrite as .
Step 7
Rewrite in terms of sines and cosines.
Step 8
Rewrite in terms of sines and cosines.
Step 9
Multiply by the reciprocal of the fraction to divide by .
Step 10
Convert from to .
Step 11
Rewrite in terms of sines and cosines.
Step 12
Rewrite in terms of sines and cosines.
Step 13
Apply the product rule to .
Step 14
Cancel the common factor of .
Tap for more steps...
Step 14.1
Factor out of .
Step 14.2
Cancel the common factor.
Step 14.3
Rewrite the expression.
Step 15
Cancel the common factor of .
Tap for more steps...
Step 15.1
Factor out of .
Step 15.2
Cancel the common factor.
Step 15.3
Rewrite the expression.
Step 16
Convert from to .