# 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 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 .
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 .
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
, for any integer
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### Name

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

### Interesting facts

• 2072132489 has 16 divisors, whose sum is 2380615296
• The reverse of 2072132489 is 9842312702
• Previous prime number is 1321

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 38
• Digital Root 2

### Name

Name fifty-five million five hundred nine thousand three hundred nine

### Interesting facts

• 55509309 has 8 divisors, whose sum is 61998520
• The reverse of 55509309 is 90390555
• Previous prime number is 193

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 8
• Sum of Digits 36
• Digital Root 9

### Name

Name one billion one hundred seventy million one hundred two thousand eight hundred eighteen

### Interesting facts

• 1170102818 has 8 divisors, whose sum is 1755930540
• The reverse of 1170102818 is 8182010711
• Previous prime number is 2281

### Basic properties

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