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.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify terms.
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Combine the opposite terms in .
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Reorder the factors in the terms and .
Add and .
Add and .
Simplify each term.
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Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
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