# 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 one billion two hundred seventy-seven million six hundred sixty-nine thousand two hundred forty-seven

### Interesting facts

• 1277669247 has 8 divisors, whose sum is 1296972144
• The reverse of 1277669247 is 7429667721
• Previous prime number is 233

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 51
• Digital Root 6

### Name

Name five hundred thirty-nine million eight hundred seventy-six thousand one hundred eighty-four

### Interesting facts

• 539876184 has 64 divisors, whose sum is 2557310400
• The reverse of 539876184 is 481678935
• Previous prime number is 19

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 51
• Digital Root 6

### Name

Name one billion six hundred seventy-six million three hundred seventy-seven thousand two hundred fifty-five

### Interesting facts

• 1676377255 has 4 divisors, whose sum is 1724273784
• The reverse of 1676377255 is 5527736761
• Previous prime number is 35

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 49
• Digital Root 4