Solve for θ in Degrees 3tan(theta)+1=0

Solve for θ in Degrees 3tan(theta)+1=0
Subtract from both sides of the equation.
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.
Move the negative in front of the fraction.
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
Simplify the right side.
Evaluate .
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.
The resulting angle of is positive and coterminal with .
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 .
Add to every negative angle to get positive angles.
Add to to find the positive angle.
Subtract from .
List the new angles.
The period of the function is so values will repeat every degrees in both directions.
, for any integer
, for any integer
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Name

Name nine hundred seven million six hundred seven thousand one hundred seventy-six

Interesting facts

• 907607176 has 32 divisors, whose sum is 3500770752
• The reverse of 907607176 is 671706709
• Previous prime number is 7

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 43
• Digital Root 7

Name

Name one billion ninety-one million three hundred seventy-seven thousand seven hundred forty-five

Interesting facts

• 1091377745 has 4 divisors, whose sum is 1309653300
• The reverse of 1091377745 is 5477731901
• Previous prime number is 5

Basic properties

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

Name

Name two billion seventy-six million two hundred thirty-eight thousand seven hundred ninety-seven

Interesting facts

• 2076238797 has 8 divisors, whose sum is 2770409856
• The reverse of 2076238797 is 7978326702
• Previous prime number is 1327

Basic properties

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