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 two hundred seventy-one million three hundred twenty-seven thousand one hundred eighteen

Interesting facts

  • 271327118 has 8 divisors, whose sum is 410195712
  • The reverse of 271327118 is 811723172
  • Previous prime number is 127

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 32
  • Digital Root 5

Name

Name one billion seven hundred eleven million four hundred thirty-eight thousand three hundred thirteen

Interesting facts

  • 1711438313 has 16 divisors, whose sum is 1888641216
  • The reverse of 1711438313 is 3138341171
  • Previous prime number is 43

Basic properties

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

Name

Name one billion twenty-five million three thousand thirty-nine

Interesting facts

  • 1025003039 has 4 divisors, whose sum is 1025101056
  • The reverse of 1025003039 is 9303005201
  • Previous prime number is 11903

Basic properties

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