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

Solve for ? 2cos(x)+1=0
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
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 .
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 .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Find the period.
The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
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 two billion one hundred thirty-nine million seven hundred sixty-five thousand nine hundred seventy-eight

Interesting facts

• 2139765978 has 32 divisors, whose sum is 3737620224
• The reverse of 2139765978 is 8795679312
• Previous prime number is 1013

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 57
• Digital Root 3

Name

Name one billion five hundred sixteen million six hundred eighty-one thousand ninety-seven

Interesting facts

• 1516681097 has 4 divisors, whose sum is 1557672516
• The reverse of 1516681097 is 7901866151
• Previous prime number is 37

Basic properties

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

Name

Name nine hundred twenty-six million four hundred forty-eight thousand six hundred seventeen

Interesting facts

• 926448617 has 4 divisors, whose sum is 933743616
• The reverse of 926448617 is 716844629
• Previous prime number is 127

Basic properties

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