Trigonometry Examples

Simplify/Condense (sin(theta)-cos(theta))-(sin(theta)+cos(theta))^2
Step 1
Rewrite as .
Step 2
Expand using the FOIL Method.
Tap for more steps...
Step 2.1
Apply the distributive property.
Step 2.2
Apply the distributive property.
Step 2.3
Apply the distributive property.
Step 3
Simplify and combine like terms.
Tap for more steps...
Step 3.1
Simplify each term.
Tap for more steps...
Step 3.1.1
Multiply .
Tap for more steps...
Step 3.1.1.1
Raise to the power of .
Step 3.1.1.2
Raise to the power of .
Step 3.1.1.3
Use the power rule to combine exponents.
Step 3.1.1.4
Add and .
Step 3.1.2
Multiply .
Tap for more steps...
Step 3.1.2.1
Raise to the power of .
Step 3.1.2.2
Raise to the power of .
Step 3.1.2.3
Use the power rule to combine exponents.
Step 3.1.2.4
Add and .
Step 3.2
Reorder the factors of .
Step 3.3
Add and .
Step 4
Move .
Step 5
Apply pythagorean identity.
Step 6
Simplify each term.
Tap for more steps...
Step 6.1
Reorder and .
Step 6.2
Reorder and .
Step 6.3
Apply the sine double-angle identity.
Step 7
Apply the distributive property.
Step 8
Multiply by .