Verify the Identity tan(-x)cot(x)=-1

Verify the Identity tan(-x)cot(x)=-1
Start on the left side.
Since is an odd function, rewrite as .
Convert to sines and cosines.
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Write in sines and cosines using the quotient identity.
Write in sines and cosines using the quotient identity.
Simplify.
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Cancel the common factor of .
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Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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Name

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

Interesting facts

  • 780695259 has 4 divisors, whose sum is 1040927016
  • The reverse of 780695259 is 952596087
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 51
  • Digital Root 6

Name

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

Interesting facts

  • 1267939283 has 8 divisors, whose sum is 1379551488
  • The reverse of 1267939283 is 3829397621
  • Previous prime number is 97

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 50
  • Digital Root 5

Name

Name seven hundred thirty-nine million three hundred seventy-four thousand one hundred forty-six

Interesting facts

  • 739374146 has 32 divisors, whose sum is 1324919808
  • The reverse of 739374146 is 641473937
  • Previous prime number is 691

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 44
  • Digital Root 8