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

Solve for x 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 three hundred fourteen million seven hundred eighty-seven thousand six hundred sixty-five

### Interesting facts

• 314787665 has 4 divisors, whose sum is 377745204
• The reverse of 314787665 is 566787413
• Previous prime number is 5

### Basic properties

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

### Name

Name one billion eight hundred seventy-two million nine hundred fifteen thousand two hundred

### Interesting facts

• 1872915200 has 2048 divisors, whose sum is 53763248448
• The reverse of 1872915200 is 0025192781
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 35
• Digital Root 8

### Name

Name sixty-eight million seven hundred twelve thousand five hundred two

### Interesting facts

• 68712502 has 4 divisors, whose sum is 103068756
• The reverse of 68712502 is 20521786
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 8
• Sum of Digits 31
• Digital Root 4