Verify the Identity tan(theta)^2cos(theta)^2=1/(csc(theta)^2)

Verify the Identity tan(theta)^2cos(theta)^2=1/(csc(theta)^2)
Start on the left side.
Convert to sines and cosines.
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Write in sines and cosines using the quotient identity.
Apply the product rule to .
Cancel the common factor of .
Now consider the right side of the equation.
Convert to sines and cosines.
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Apply the reciprocal identity to .
Apply the product rule to .
Simplify.
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Multiply the numerator by the reciprocal of the denominator.
Multiply by .
One to any power is one.
Divide by .
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 nine hundred sixty-nine million three hundred twelve thousand seven hundred thirty-eight

Interesting facts

  • 1969312738 has 32 divisors, whose sum is 3092281920
  • The reverse of 1969312738 is 8372139691
  • Previous prime number is 59

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 49
  • Digital Root 4

Name

Name two billion fifty-seven million seven hundred ninety-five thousand one hundred seventeen

Interesting facts

  • 2057795117 has 4 divisors, whose sum is 2351765856
  • The reverse of 2057795117 is 7115977502
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 44
  • Digital Root 8

Name

Name one billion eight hundred twelve million four hundred two thousand fifty-six

Interesting facts

  • 1812402056 has 32 divisors, whose sum is 6148887552
  • The reverse of 1812402056 is 6502042181
  • Previous prime number is 191

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 29
  • Digital Root 2