# Solve for x tan(x)=1

Solve for x 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 seven hundred twenty-three thousand two hundred eighteen

### Interesting facts

• 723218 has 8 divisors, whose sum is 1088640
• The reverse of 723218 is 812327
• Previous prime number is 431

### Basic properties

• Is Prime? no
• Number parity even
• Number length 6
• Sum of Digits 23
• Digital Root 5

### Name

Name one billion nine hundred forty million seven hundred ninety-three thousand two hundred fifty-three

### Interesting facts

• 1940793253 has 8 divisors, whose sum is 2348523072
• The reverse of 1940793253 is 3523970491
• Previous prime number is 7

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 43
• Digital Root 7

### Name

Name seven hundred eighty million four hundred sixty-two thousand six hundred fourteen

### Interesting facts

• 780462614 has 4 divisors, whose sum is 1170693924
• The reverse of 780462614 is 416264087
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 38
• Digital Root 2