# Simplify cos(theta)^2-sin(theta)^2

Simplify cos(theta)^2-sin(theta)^2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify terms.
Combine the opposite terms in .
Reorder the factors in the terms and .
Simplify each term.
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite using the commutative property of multiplication.
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Apply the cosine double-angle identity.
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### Name

Name one billion eight hundred eighty-one million seven hundred forty-six thousand five hundred ninety-five

### Interesting facts

• 1881746595 has 8 divisors, whose sum is 2676261888
• The reverse of 1881746595 is 5956471881
• Previous prime number is 15

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 54
• Digital Root 9

### Name

Name two billion eighty-three million nine hundred eighty-nine thousand one hundred sixty-seven

### Interesting facts

• 2083989167 has 8 divisors, whose sum is 2316693120
• The reverse of 2083989167 is 7619893802
• Previous prime number is 31

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 53
• Digital Root 8

### Name

Name one billion eight hundred three million five hundred eighteen thousand seven hundred seventy-three

### Interesting facts

• 1803518773 has 8 divisors, whose sum is 2081176448
• The reverse of 1803518773 is 3778153081
• Previous prime number is 103

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 43
• Digital Root 7