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

Verify the Identity (tan(x)^2+1)(cos(x)^2-1)=-tan(x)^2
Start on the left side.
Apply Pythagorean identity.
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Apply pythagorean identity.
Reorder and .
Rewrite as .
Factor out of .
Factor out of .
Rewrite as .
Apply pythagorean identity.
Convert to sines and cosines.
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Apply the reciprocal identity to .
Apply the product rule to .
Simplify.
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One to any power is one.
Combine and .
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 fourteen million forty-seven thousand five hundred nineteen

Interesting facts

  • 1114047519 has 8 divisors, whose sum is 1209826080
  • The reverse of 1114047519 is 9157404111
  • Previous prime number is 17

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 33
  • Digital Root 6

Name

Name one billion one hundred seventy-seven million eight hundred fifteen thousand seven hundred eighty-nine

Interesting facts

  • 1177815789 has 16 divisors, whose sum is 1745568000
  • The reverse of 1177815789 is 9875187711
  • Previous prime number is 3343

Basic properties

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

Name

Name one hundred fifty-seven million forty-five thousand two hundred ninety-six

Interesting facts

  • 157045296 has 128 divisors, whose sum is 1072854720
  • The reverse of 157045296 is 692540751
  • Previous prime number is 83

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 39
  • Digital Root 3