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

Verify the Identity (cot(x)^2)/(csc(x))=(1-sin(x)^2)/(sin(x))
Start on the right side.
Apply pythagorean identity.
Now consider the left side of the equation.
Convert to sines and cosines.
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Write in sines and cosines using the quotient identity.
Apply the reciprocal identity to .
Apply the product rule to .
Simplify.
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Multiply the numerator by the reciprocal of the denominator.
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 two hundred seventy-seven million three hundred thousand one hundred thirty

Interesting facts

  • 1277300130 has 32 divisors, whose sum is 3164410368
  • The reverse of 1277300130 is 0310037721
  • Previous prime number is 31

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 24
  • Digital Root 6

Name

Name nine hundred seventy-four million seven hundred twenty-two thousand three hundred nine

Interesting facts

  • 974722309 has 16 divisors, whose sum is 1073248704
  • The reverse of 974722309 is 903227479
  • Previous prime number is 353

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 43
  • Digital Root 7

Name

Name three hundred five million six hundred fifty-five thousand seven hundred seventy-one

Interesting facts

  • 305655771 has 4 divisors, whose sum is 407541032
  • The reverse of 305655771 is 177556503
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 39
  • Digital Root 3