Verify the Identity (sec(x)+1)/(tan(x))=(sin(x))/(1-cos(x))

Verify the Identity (sec(x)+1)/(tan(x))=(sin(x))/(1-cos(x))
Start on the right side.
Multiply by .
Combine.
Simplify numerator.
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Apply the distributive property.
Multiply by .
Simplify denominator.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Apply pythagorean identity.
Simplify.
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Factor out of .
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Multiply by .
Factor out of .
Factor out of .
Cancel the common factors.
Now consider the left side of the equation.
Convert to sines and cosines.
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Apply the reciprocal identity to .
Write in sines and cosines using the quotient identity.
Simplify.
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Multiply the numerator by the reciprocal of the denominator.
Apply the distributive property.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply by .
Combine the numerators over the common denominator.
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 seventy-three million seven hundred ninety-six thousand nine hundred eighty-four

Interesting facts

  • 1073796984 has 256 divisors, whose sum is 7010502912
  • The reverse of 1073796984 is 4896973701
  • Previous prime number is 97

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 54
  • Digital Root 9

Name

Name one billion two hundred twenty-two million two hundred eleven thousand four hundred ninety-four

Interesting facts

  • 1222211494 has 16 divisors, whose sum is 2129569056
  • The reverse of 1222211494 is 4941122221
  • Previous prime number is 61

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 28
  • Digital Root 1

Name

Name one billion nine hundred thirty-six million two hundred sixty-four thousand fifteen

Interesting facts

  • 1936264015 has 8 divisors, whose sum is 2655447840
  • The reverse of 1936264015 is 5104626391
  • Previous prime number is 7

Basic properties

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