Solve for x cos(2x)=0

Solve for x cos(2x)=0
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
The exact value of is .
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 .
Multiply .
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Multiply and .
Multiply by .
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 the expression to find the second solution.
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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.
Multiply by .
Subtract from .
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 .
Multiply .
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Multiply and .
Multiply by .
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 .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
The period of the function is so values will repeat every radians in both directions.
, for any integer
Consolidate the answers.
, for any integer
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Name

Name one billion eight hundred forty million one hundred seventy-seven thousand seven hundred sixty-three

Interesting facts

  • 1840177763 has 4 divisors, whose sum is 1899538368
  • The reverse of 1840177763 is 3677710481
  • Previous prime number is 31

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 44
  • Digital Root 8

Name

Name five hundred fifty-eight million three hundred eighty-seven thousand four hundred sixty-two

Interesting facts

  • 558387462 has 16 divisors, whose sum is 1117093680
  • The reverse of 558387462 is 264783855
  • Previous prime number is 4153

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 48
  • Digital Root 3

Name

Name nine hundred fifty-seven million fifty-three thousand four hundred fifty

Interesting facts

  • 957053450 has 8 divisors, whose sum is 1493003460
  • The reverse of 957053450 is 054350759
  • Previous prime number is 25

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 38
  • Digital Root 2