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 seven hundred sixty-four million three hundred nine thousand nine hundred sixty-nine

Interesting facts

  • 764309969 has 4 divisors, whose sum is 767151540
  • The reverse of 764309969 is 969903467
  • Previous prime number is 269

Basic properties

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

Name

Name one billion one hundred fifty million three hundred thirty thousand three hundred eighteen

Interesting facts

  • 1150330318 has 8 divisors, whose sum is 1725844680
  • The reverse of 1150330318 is 8130330511
  • Previous prime number is 5171

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 25
  • Digital Root 7

Name

Name one billion six hundred seventy-eight million three hundred twenty-one thousand six hundred sixty

Interesting facts

  • 1678321660 has 16 divisors, whose sum is 4531468536
  • The reverse of 1678321660 is 0661238761
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 40
  • Digital Root 4