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

Verify the Identity sin(x)tan(x)+cos(x)-sec(x)+1=sec(x)^2cos(x)^2
Start on the left side.
Simplify the expression.
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Simplify each term.
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Rewrite in terms of sines and cosines.
Multiply .
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Combine and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite in terms of sines and cosines.
Combine the numerators over the common denominator.
Reorder and .
Rewrite as .
Factor out of .
Factor out of .
Rewrite as .
Apply pythagorean identity.
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Multiply by .
Cancel the common factor.
Rewrite the expression.
Divide by .
Combine the opposite terms in .
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Subtract from .
Add 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 seven hundred seventy million nine hundred twelve thousand twenty-eight

Interesting facts

  • 770912028 has 16 divisors, whose sum is 1927280160
  • The reverse of 770912028 is 820219077
  • Previous prime number is 9

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 36
  • Digital Root 9

Name

Name four hundred eighty-three million five thousand seven hundred nine

Interesting facts

  • 483005709 has 4 divisors, whose sum is 536673020
  • The reverse of 483005709 is 907500384
  • Previous prime number is 9

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 36
  • Digital Root 9

Name

Name one billion eighty-nine million five hundred eighty-two thousand seventy

Interesting facts

  • 1089582070 has 16 divisors, whose sum is 1979579088
  • The reverse of 1089582070 is 0702859801
  • Previous prime number is 107

Basic properties

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