Solve for ? cos(x)=( square root of 3)/2

Solve for ? cos(x)=( square root of 3)/2
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
The exact value of is .
The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from to find the solution in the fourth quadrant.
Simplify .
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To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Subtract from .
Find the period.
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The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
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The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
The period of the function is so values will repeat every radians in both directions.
, for any integer
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Name

Name nine hundred twenty-nine million eight hundred eighty-three thousand six hundred twenty-six

Interesting facts

  • 929883626 has 32 divisors, whose sum is 1680556032
  • The reverse of 929883626 is 626388929
  • Previous prime number is 31

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 53
  • Digital Root 8

Name

Name two billion one hundred ten million eight hundred twenty-four thousand seven hundred eleven

Interesting facts

  • 2110824711 has 16 divisors, whose sum is 2295568800
  • The reverse of 2110824711 is 1174280112
  • Previous prime number is 73

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 27
  • Digital Root 9

Name

Name one billion three hundred sixteen million three hundred ninety-nine thousand one hundred forty-four

Interesting facts

  • 1316399144 has 16 divisors, whose sum is 4442847138
  • The reverse of 1316399144 is 4419936131
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 41
  • Digital Root 5