Precalculus Examples

Simplify 1/(cot(x)^2)+sec(x)cos(x)
Step 1
Simplify each term.
Tap for more steps...
Step 1.1
Rewrite as .
Step 1.2
Rewrite as .
Step 1.3
Rewrite in terms of sines and cosines.
Step 1.4
Multiply by the reciprocal of the fraction to divide by .
Step 1.5
Write as a fraction with denominator .
Step 1.6
Simplify.
Tap for more steps...
Step 1.6.1
Rewrite the expression.
Step 1.6.2
Multiply by .
Step 1.7
Apply the product rule to .
Step 1.8
Rewrite in terms of sines and cosines, then cancel the common factors.
Tap for more steps...
Step 1.8.1
Rewrite in terms of sines and cosines.
Step 1.8.2
Cancel the common factors.
Step 2
Convert from to .
Step 3
Apply pythagorean identity.