Question

For which value of theta is csc (theta) undefined?

a.0
b.pi/2
c.3pi/2
7pi/2

Answer 1

csc is 1/sin so it is undefined where sin = 0. of your choices only A fits

Answer 2

We need to find the angle theta for which csc (theta) is undefined.

csc is the reciprocal of sine trigonometric function.

Therefore, csc (theta) = 1/ sin (theta).

We know sin(0)° = 0.

Let us check the value of csc (theta) by taking theta =0.

csc(0)° = 1/ sin (0)°.

Plugging value of sin(0)° = 0.

csc(0)° = 1/0.

1/0 is undefined value.

Therefore, correct option is a.0.