# Find Where Undefined/Discontinuous (-1+cot(w)^2+cos(w)^2tan(w)^2)/(csc(w)^2)=cos(w)^4

Find Where Undefined/Discontinuous (-1+cot(w)^2+cos(w)^2tan(w)^2)/(csc(w)^2)=cos(w)^4
Move to the left side of the equation by subtracting it from both sides.
Set the denominator in equal to to find where the expression is undefined.
Solve for .
Take the root of both sides of the to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
is equal to .
The range of cosecant is and . Since does not fall in this range, there is no solution.
No solution
No solution
Set the argument in equal to to find where the expression is undefined.
, for any integer
Set the argument in equal to to find where the expression is undefined.
, for any integer
The equation is undefined where the denominator equals , the argument of a square root is less than , or the argument of a logarithm is less than or equal to .
Set-Builder Notation:
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### Name

Name nine hundred twenty-one million three hundred seventy-six thousand five hundred eleven

### Interesting facts

• 921376511 has 4 divisors, whose sum is 1005138024
• The reverse of 921376511 is 115673129
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 35
• Digital Root 8

### Name

Name two billion forty-nine million six hundred thirty thousand two hundred forty-three

### Interesting facts

• 2049630243 has 8 divisors, whose sum is 2733170256
• The reverse of 2049630243 is 3420369402
• Previous prime number is 9341

### Basic properties

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

### Name

Name six hundred nine million three hundred thirty-five thousand four hundred sixty-six

### Interesting facts

• 609335466 has 32 divisors, whose sum is 1241700288
• The reverse of 609335466 is 664533906
• Previous prime number is 457

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 42
• Digital Root 6