Find the Value Using the Unit Circle csc(0)

Problem

csc(0)

Solution

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

csc(θ)=1/sin(θ)

2. Determine the coordinates on the unit circle for the angle 0 radians.

(x,y)=(cos(0),sin(0))

3. Locate the point on the unit circle at 0 radians, which is (1,0)

sin(0)=0

4. Substitute the value of sin(0) into the cosecant formula.

csc(0)=1/0

5. Conclude that since division by zero is undefined, the value does not exist.

undefined

Final Answer

csc(0)=undefined

Want more problems? Check here!