Expand Using Sum/Difference Formulas cos(345)

Expand Using Sum/Difference Formulas cos(345)
First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, can be split into .
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.
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. Make the expression negative because sine is negative in the fourth quadrant.
The exact value of is .
Simplify each term.
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Multiply .
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Multiply and .
Multiply by .
Multiply .
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Multiply by .
Multiply by .
Multiply and .
Combine using the product rule for radicals.
Multiply by .
Multiply by .
Combine the numerators over the common denominator.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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Name

Name one billion three hundred five million twenty-four thousand three hundred four

Interesting facts

  • 1305024304 has 128 divisors, whose sum is 6813642240
  • The reverse of 1305024304 is 4034205031
  • Previous prime number is 59

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 22
  • Digital Root 4

Name

Name three hundred eighty-one million one hundred ninety-eight thousand six hundred fifty-one

Interesting facts

  • 381198651 has 8 divisors, whose sum is 513505104
  • The reverse of 381198651 is 156891183
  • Previous prime number is 97

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 42
  • Digital Root 6

Name

Name nine hundred twenty-five million nine hundred forty-five thousand four hundred sixteen

Interesting facts

  • 925945416 has 128 divisors, whose sum is 4301087040
  • The reverse of 925945416 is 614549529
  • Previous prime number is 907

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 45
  • Digital Root 9