# Solve for ? tan(x)=-1/( square root of 3)

Solve for ? tan(x)=-1/( square root of 3)
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
The exact value of is .
The tangent function is negative in the second and fourth quadrants. To find the second solution, subtract the reference angle from to find the solution in the third quadrant.
Simplify the expression to find the second solution.
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 .
Move the negative in front of the fraction.
The resulting angle of is positive and coterminal with .
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 .
Add to every negative angle to get positive angles.
Add to to find the positive angle.
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.
Move to the left of .
Subtract from .
List the new angles.
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 four hundred sixty-four million nine hundred twenty-two thousand two hundred fifty-two

### Interesting facts

• 464922252 has 128 divisors, whose sum is 1928337408
• The reverse of 464922252 is 252229464
• Previous prime number is 31

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 36
• Digital Root 9

### Name

Name one billion eight hundred fourteen million seven hundred fifty-four thousand nine hundred sixty-three

### Interesting facts

• 1814754963 has 16 divisors, whose sum is 2776919040
• The reverse of 1814754963 is 3694574181
• Previous prime number is 239

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 48
• Digital Root 3

### Name

Name six hundred forty-eight million eight hundred forty-two thousand seven hundred twenty-four

### Interesting facts

• 648842724 has 64 divisors, whose sum is 1811073600
• The reverse of 648842724 is 427248846
• Previous prime number is 211

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 45
• Digital Root 9