Verify the Identity (cos(x))/(sec(x)-1)-(cos(x))/(sec(x)+1)=(2cos(x))/(tan(x)^2)

Verify the Identity (cos(x))/(sec(x)-1)-(cos(x))/(sec(x)+1)=(2cos(x))/(tan(x)^2)
Start on the left side.
Subtract 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 numerator.
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Simplify each term.
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Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply .
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Multiply by .
Multiply by .
Subtract from .
Add and .
Add and .
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.
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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Name

Name eight hundred forty-six million one hundred sixty-eight thousand eighty-eight

Interesting facts

  • 846168088 has 64 divisors, whose sum is 2951931600
  • The reverse of 846168088 is 880861648
  • Previous prime number is 59

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 49
  • Digital Root 4

Name

Name eight hundred fifty-five million seven hundred eighty-eight thousand four hundred seventy

Interesting facts

  • 855788470 has 16 divisors, whose sum is 1540775808
  • The reverse of 855788470 is 074887558
  • Previous prime number is 6367

Basic properties

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

Name

Name eight hundred seventy-nine million four hundred thousand six hundred seventeen

Interesting facts

  • 879400617 has 8 divisors, whose sum is 896372136
  • The reverse of 879400617 is 716004978
  • Previous prime number is 593

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 42
  • Digital Root 6