Expand Using Sum/Difference Formulas cos((2pi)/3)

Expand Using Sum/Difference Formulas cos((2pi)/3)
The angle is an angle where the values of the six trigonometric functions are known. Because this is the case, add to keep the value the same.
Use the sum formula for cosine to simplify the expression. The formula states that .
The exact value of is .
Simplify .
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Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.
The exact value of is .
The exact value of is .
Simplify .
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Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
The exact value of is .
Simplify each term.
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Multiply by .
Multiply by .
Add and .
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Name

Name ninety-seven million seven hundred ten thousand eight hundred thirty-eight

Interesting facts

  • 97710838 has 8 divisors, whose sum is 149684832
  • The reverse of 97710838 is 83801779
  • Previous prime number is 47

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 43
  • Digital Root 7

Name

Name five hundred eighty-four million four hundred thirty-nine thousand five hundred twenty

Interesting facts

  • 584439520 has 512 divisors, whose sum is 6160831488
  • The reverse of 584439520 is 025934485
  • Previous prime number is 83

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 40
  • Digital Root 4

Name

Name two billion one hundred eleven million nine hundred three thousand nine hundred ninety-four

Interesting facts

  • 2111903994 has 32 divisors, whose sum is 4268088000
  • The reverse of 2111903994 is 4993091112
  • Previous prime number is 1019

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 39
  • Digital Root 3