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

Solve for ? cos(theta)=( square root of 2)/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 one billion two hundred forty-five million three hundred eighty-seven thousand seven

Interesting facts

  • 1245387007 has 4 divisors, whose sum is 1245458880
  • The reverse of 1245387007 is 7007835421
  • Previous prime number is 42719

Basic properties

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

Name

Name five hundred thirty-nine million seven hundred seventeen thousand nine hundred forty-one

Interesting facts

  • 539717941 has 8 divisors, whose sum is 620906624
  • The reverse of 539717941 is 149717935
  • Previous prime number is 151

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 46
  • Digital Root 1

Name

Name four hundred thirty-one million six hundred forty-nine thousand seven hundred seventy-two

Interesting facts

  • 431649772 has 8 divisors, whose sum is 971211996
  • The reverse of 431649772 is 277946134
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 43
  • Digital Root 7