Verify the Identity tan(x)+cot(x)=sec(x)csc(x)

Verify the Identity tan(x)+cot(x)=sec(x)csc(x)
Start on the left side.
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.
Add fractions.
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To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Combine.
Combine.
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify each term.
Apply pythagorean identity.
Now consider the right side of the equation.
Convert to sines and cosines.
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Apply the reciprocal identity to .
Apply the reciprocal identity to .
Multiply and .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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Name

Name nine hundred eighty-three million nine hundred sixty-one thousand nine hundred thirty-three

Interesting facts

  • 983961933 has 16 divisors, whose sum is 1337407680
  • The reverse of 983961933 is 339169389
  • Previous prime number is 67

Basic properties

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

Name

Name nine hundred sixty-nine million five hundred ninety-eight thousand three hundred twelve

Interesting facts

  • 969598312 has 32 divisors, whose sum is 3273008148
  • The reverse of 969598312 is 213895969
  • Previous prime number is 8537

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 52
  • Digital Root 7

Name

Name one billion two hundred forty-three million six hundred eighty thousand four hundred four

Interesting facts

  • 1243680404 has 16 divisors, whose sum is 2851079148
  • The reverse of 1243680404 is 4040863421
  • Previous prime number is 53

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 32
  • Digital Root 5