Question

If 0° ≤ Θ≤ 360°, then find angle(s) Θ.
1) csc Θ = undefined

Answer 1

that these angles are inclusive of 0° and 360° because the question states that 0° ≤ Θ ≤ 360°.

Explanation:

If csc Θ is undefined, that means that the sine of the angle is zero, because csc Θ is the reciprocal of the sine function, and division by zero is undefined.

So we need to find all the angles where sin Θ = 0.

The sine function is equal to zero at multiples of 180 degrees, so the solutions to sin Θ = 0 are:

Θ = 0°, 180°, 360°

Note that these angles are inclusive of 0° and 360° because the question states that 0° ≤ Θ ≤ 360°.