Solve for x cos(t)=0

Solve for x cos(t)=0
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
Consolidate the answers.
, for any integer
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Name

Name four hundred thirty-four million one hundred twenty-five thousand one hundred forty-three

Interesting facts

  • 434125143 has 16 divisors, whose sum is 643472640
  • The reverse of 434125143 is 341521434
  • Previous prime number is 4643

Basic properties

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

Name

Name two billion ninety-four million nine hundred eighty-two thousand two hundred fifty-two

Interesting facts

  • 2094982252 has 64 divisors, whose sum is 5207864544
  • The reverse of 2094982252 is 2522894902
  • Previous prime number is 1753

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 43
  • Digital Root 7

Name

Name two billion one hundred forty-four million four hundred thirty-two thousand five hundred thirteen

Interesting facts

  • 2144432513 has 8 divisors, whose sum is 2272684032
  • The reverse of 2144432513 is 3152344412
  • Previous prime number is 1087

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 29
  • Digital Root 2