Verify the Identity (sin(x)^2-cos(x)^2)/(sin(x)-cos(x))=sin(x)+cos(x)

Verify the Identity (sin(x)^2-cos(x)^2)/(sin(x)-cos(x))=sin(x)+cos(x)
Start on the left side.
Simplify.
Tap for more steps...
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Cancel the common factor of .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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Name

Name one billion nine hundred eighty-seven million nine hundred seventy-seven thousand nine hundred seventy-eight

Interesting facts

  • 1987977978 has 128 divisors, whose sum is 5202954240
  • The reverse of 1987977978 is 8797797891
  • Previous prime number is 43

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 72
  • Digital Root 9

Name

Name five hundred fifty-six million two hundred sixty-nine thousand eighty-seven

Interesting facts

  • 556269087 has 16 divisors, whose sum is 856714752
  • The reverse of 556269087 is 780962655
  • Previous prime number is 11

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 48
  • Digital Root 3

Name

Name two billion forty-eight million five hundred thirty thousand seven hundred eighty-two

Interesting facts

  • 2048530782 has 16 divisors, whose sum is 4097802240
  • The reverse of 2048530782 is 2870358402
  • Previous prime number is 55579

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 39
  • Digital Root 3