# Solve for x in Radians square root of 3cot(x)=1

Solve for x in Radians square root of 3cot(x)=1
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Take the inverse cotangent of both sides of the equation to extract from inside the cotangent.
Simplify the right side.
The exact value of is .
The cotangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from to find the solution in the fourth quadrant.
Simplify .
To write as a fraction with a common denominator, multiply by .
Combine fractions.
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Move to the left of .
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
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
, for any integer
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### Name

Name two billion one hundred forty-seven million ninety-two thousand forty

### Interesting facts

• 2147092040 has 32 divisors, whose sum is 8695722924
• The reverse of 2147092040 is 0402907412
• Previous prime number is 5

### Basic properties

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

### Name

Name one billion four hundred thirty-one million nine hundred seventy-two thousand eight hundred forty

### Interesting facts

• 1431972840 has 128 divisors, whose sum is 7773262848
• The reverse of 1431972840 is 0482791341
• Previous prime number is 191

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 39
• Digital Root 3

### Name

Name one billion six hundred seventy-seven million nine hundred sixty-nine thousand one hundred fifty-four

### Interesting facts

• 1677969154 has 32 divisors, whose sum is 2820312000
• The reverse of 1677969154 is 4519697761
• Previous prime number is 89

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 55
• Digital Root 1