Verify the Identity (sec(B)+tan(B))(1-sin(B))=cos(B)

Verify the Identity (sec(B)+tan(B))(1-sin(B))=cos(B)
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.
Rewrite in terms of sines and cosines.
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.
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Simplify each term.
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Multiply by .
Rewrite using the commutative property of multiplication.
Combine and .
Multiply by .
Rewrite using the commutative property of multiplication.
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 .
Add and .
Add and .
Combine the numerators over the common denominator.
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 .
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 six hundred fifty-eight million nine hundred sixty-seven thousand eight hundred twenty-three

Interesting facts

  • 1658967823 has 4 divisors, whose sum is 1716173640
  • The reverse of 1658967823 is 3287698561
  • Previous prime number is 29

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 55
  • Digital Root 1

Name

Name one billion eight hundred forty-nine million eight hundred seventy-eight thousand ninety-two

Interesting facts

  • 1849878092 has 8 divisors, whose sum is 4162225716
  • The reverse of 1849878092 is 2908789481
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 56
  • Digital Root 2

Name

Name one billion one hundred fifty-four million fifty-four thousand one hundred forty-six

Interesting facts

  • 1154054146 has 32 divisors, whose sum is 2096658432
  • The reverse of 1154054146 is 6414504511
  • Previous prime number is 2297

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 31
  • Digital Root 4