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 five hundred ninety-six million nine hundred thirty-eight thousand two hundred fifty-four

Interesting facts

  • 596938254 has 32 divisors, whose sum is 1420813440
  • The reverse of 596938254 is 452839695
  • Previous prime number is 11

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 51
  • Digital Root 6

Name

Name seven hundred fifty million four hundred sixty-eight thousand one hundred thirteen

Interesting facts

  • 750468113 has 4 divisors, whose sum is 750549360
  • The reverse of 750468113 is 311864057
  • Previous prime number is 10627

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 35
  • Digital Root 8

Name

Name one billion nine hundred fifty-three million five hundred three thousand five hundred eighteen

Interesting facts

  • 1953503518 has 4 divisors, whose sum is 2930255280
  • The reverse of 1953503518 is 8153053591
  • Previous prime number is 2

Basic properties

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