Solve for x 2cos(x)+1=0

Solve for x 2cos(x)+1=0
Subtract from both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
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 negative in the second and third quadrants. To find the second solution, subtract the reference angle from to find the solution in the third 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 three hundred fourteen million seven hundred eighty-seven thousand six hundred sixty-five

Interesting facts

  • 314787665 has 4 divisors, whose sum is 377745204
  • The reverse of 314787665 is 566787413
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 47
  • Digital Root 2

Name

Name one billion eight hundred seventy-two million nine hundred fifteen thousand two hundred

Interesting facts

  • 1872915200 has 2048 divisors, whose sum is 53763248448
  • The reverse of 1872915200 is 0025192781
  • Previous prime number is 13

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 35
  • Digital Root 8

Name

Name sixty-eight million seven hundred twelve thousand five hundred two

Interesting facts

  • 68712502 has 4 divisors, whose sum is 103068756
  • The reverse of 68712502 is 20521786
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 31
  • Digital Root 4