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 one billion one hundred sixty-four million one hundred twenty-eight thousand nine hundred fourteen

Interesting facts

  • 1164128914 has 8 divisors, whose sum is 1880515980
  • The reverse of 1164128914 is 4198214611
  • Previous prime number is 13

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1

Name

Name one billion six hundred forty-seven million one hundred forty-two thousand two hundred thirty-eight

Interesting facts

  • 1647142238 has 16 divisors, whose sum is 2824980864
  • The reverse of 1647142238 is 8322417461
  • Previous prime number is 2251

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2

Name

Name thirteen million four hundred seventeen thousand two hundred thirty-two

Interesting facts

  • 13417232 has 64 divisors, whose sum is 68431716
  • The reverse of 13417232 is 23271431
  • Previous prime number is 137

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 23
  • Digital Root 5