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 seven hundred sixty-five million two hundred sixty-nine thousand eight hundred fifty-nine

Interesting facts

  • 765269859 has 16 divisors, whose sum is 1075815680
  • The reverse of 765269859 is 958962567
  • Previous prime number is 631

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 57
  • Digital Root 3

Name

Name eight hundred eighty-nine million eight hundred seventy-four thousand six hundred five

Interesting facts

  • 889874605 has 32 divisors, whose sum is 1173596256
  • The reverse of 889874605 is 506478988
  • Previous prime number is 97

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 55
  • Digital Root 1

Name

Name one billion four hundred ninety-eight million nine hundred eighty-seven thousand one hundred six

Interesting facts

  • 1498987106 has 8 divisors, whose sum is 2248772304
  • The reverse of 1498987106 is 6017898941
  • Previous prime number is 8443

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 53
  • Digital Root 8