# 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 one billion six hundred one million two hundred twelve thousand five hundred eighteen

### Interesting facts

• 1601212518 has 64 divisors, whose sum is 2838326400
• The reverse of 1601212518 is 8152121061
• Previous prime number is 37

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 27
• Digital Root 9

### Name

Name one billion one hundred seventy-seven million nine hundred ninety-two thousand nine hundred twenty-five

### Interesting facts

• 1177992925 has 16 divisors, whose sum is 1698091776
• The reverse of 1177992925 is 5292997711
• Previous prime number is 971

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 52
• Digital Root 7

### Name

Name one billion eight hundred eighty-seven million sixteen thousand five hundred fifty-two

### Interesting facts

• 1887016552 has 16 divisors, whose sum is 6368680890
• The reverse of 1887016552 is 2556107881
• Previous prime number is 2

### Basic properties

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