Verify the Identity cot(theta)+tan(theta)=(csc(theta))/(cos(theta))

Verify the Identity cot(theta)+tan(theta)=(csc(theta))/(cos(theta))
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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Multiply and .
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify each term.
Apply Pythagorean identity.
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Rearrange terms.
Apply pythagorean identity.
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 billion one hundred ninety-five million one hundred sixty-two thousand six hundred forty-eight

Interesting facts

  • 1195162648 has 16 divisors, whose sum is 4033673964
  • The reverse of 1195162648 is 8462615911
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 43
  • Digital Root 7

Name

Name one billion five hundred forty-six million nine hundred thirty-six thousand six hundred thirty-one

Interesting facts

  • 1546936631 has 4 divisors, whose sum is 1548849600
  • The reverse of 1546936631 is 1366396451
  • Previous prime number is 809

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 44
  • Digital Root 8

Name

Name one billion eight million two hundred four thousand three hundred forty-one

Interesting facts

  • 1008204341 has 4 divisors, whose sum is 1008270252
  • The reverse of 1008204341 is 1434028001
  • Previous prime number is 41777

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 23
  • Digital Root 5