Verify the Identity tan(A)=tan(A)*csc(A)^2+cot(-A)

Verify the Identity tan(A)=tan(A)*csc(A)^2+cot(-A)
Start on the right side.
Since is an odd function, rewrite as .
Apply Pythagorean identity in reverse.
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.
Write in sines and cosines using the quotient identity.
Apply the product rule to .
Simplify.
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Simplify each term.
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Apply the distributive property.
Multiply by .
Combine.
Simplify each term.
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Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine the numerators over the common denominator.
Subtract from .
Divide by .
Add and .
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 two hundred nine million seventeen thousand eight hundred sixty-eight

Interesting facts

  • 209017868 has 32 divisors, whose sum is 476358624
  • The reverse of 209017868 is 868710902
  • Previous prime number is 167

Basic properties

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

Name

Name two billion one hundred thirty-three million nine hundred seventy-seven thousand six hundred

Interesting facts

  • 2133977600 has 8192 divisors, whose sum is 118745177040
  • The reverse of 2133977600 is 0067793312
  • Previous prime number is 293

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2

Name

Name one billion six hundred forty-nine million seven hundred thirty-two thousand three hundred twenty

Interesting facts

  • 1649732320 has 128 divisors, whose sum is 12595417056
  • The reverse of 1649732320 is 0232379461
  • Previous prime number is 185

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1