Verify the Identity sec(x)-cos(x)=sin(x)tan(x)

Verify the Identity sec(x)-cos(x)=sin(x)tan(x)
Start on the left side.
Apply the reciprocal identity to .
Write as a fraction with denominator .
Add fractions.
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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.
Multiply by .
Combine the numerators over the common denominator.
Multiply .
Apply pythagorean identity.
Now consider the right side of the equation.
Write in sines and cosines using the quotient identity.
Multiply .
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 billion eighty-five million six hundred twenty-five thousand one hundred thirty-eight

Interesting facts

  • 2085625138 has 8 divisors, whose sum is 3128961132
  • The reverse of 2085625138 is 8315265802
  • Previous prime number is 6197

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 40
  • Digital Root 4

Name

Name one billion seven hundred thirty-four million eight hundred seventy-five thousand nine hundred eighty-five

Interesting facts

  • 1734875985 has 8 divisors, whose sum is 1889908224
  • The reverse of 1734875985 is 5895784371
  • Previous prime number is 47

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 57
  • Digital Root 3

Name

Name six hundred fifty-three million four hundred fifty-nine thousand seven hundred forty-seven

Interesting facts

  • 653459747 has 4 divisors, whose sum is 661332840
  • The reverse of 653459747 is 747954356
  • Previous prime number is 83

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 50
  • Digital Root 5