In addition to sine, cosine, and tangent, we have the trigonometric functions secant (sec), cosecant (csc), and cotangent (cot). We define these as follows:
for those values of x where the right side is defined. Explain why we must have cot^2 x + 1 = csc^2x for any x such that x is not an integer multiple of 180\(^\circ \).