Simplify csc(180)

Problem

csc(180)

Solution

1. Identify the definition of the cosecant function in terms of the sine function.

csc(θ)=1/sin(θ)

2. Substitute the given angle into the identity.

csc(180)=1/sin(180)

3. Evaluate the sine of 180 using the unit circle, where the ycoordinate at 180 is 0

sin(180)=0

4. Determine the value of the expression by substituting the sine value back into the fraction.

csc(180)=1/0

5. Conclude that since division by zero is not allowed, the expression is undefined.

Final Answer

csc(180)=undefined

Want more problems? Check here!