# Solve for ? tan(x)=-1

Solve for ? tan(x)=-1
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
Do you know how to Solve for ? tan(x)=-1? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

### Name

Name nine hundred eight million nine hundred seventy-four thousand thirty-four

### Interesting facts

• 908974034 has 16 divisors, whose sum is 1387738872
• The reverse of 908974034 is 430479809
• Previous prime number is 113

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 44
• Digital Root 8

### Name

Name nine hundred eighty-two million six hundred seven thousand five hundred

### Interesting facts

• 982607500 has 128 divisors, whose sum is 3929601600
• The reverse of 982607500 is 005706289
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 37
• Digital Root 1

### Name

Name one billion four hundred fifty-six million two hundred thirty-seven thousand one hundred forty

### Interesting facts

• 1456237140 has 64 divisors, whose sum is 3563914752
• The reverse of 1456237140 is 0417326541
• Previous prime number is 817

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 33
• Digital Root 6