Verify the Identity (cos(x)^2)/(1+sin(x))=1-1/(csc(x))

Verify the Identity (cos(x)^2)/(1+sin(x))=1-1/(csc(x))
Start on the left side.
Apply Pythagorean identity in reverse.
Simplify.
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Simplify the numerator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Cancel the common factor of .
Rewrite as .
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 hundred eighty-five million six hundred thirty-two thousand seven hundred eighty-one

Interesting facts

  • 185632781 has 4 divisors, whose sum is 185779200
  • The reverse of 185632781 is 187236581
  • Previous prime number is 1279

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 41
  • Digital Root 5

Name

Name one billion six hundred seventy-two million three hundred fifty-four thousand sixty-two

Interesting facts

  • 1672354062 has 8 divisors, whose sum is 2787256800
  • The reverse of 1672354062 is 2604532761
  • Previous prime number is 9

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 36
  • Digital Root 9

Name

Name four hundred sixteen million nine hundred thirty thousand seven hundred thirty-nine

Interesting facts

  • 416930739 has 4 divisors, whose sum is 555907656
  • The reverse of 416930739 is 937039614
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 42
  • Digital Root 6