Question

Let theta be an angle in standard position with point ( x, y) on its terminal side. Write the values of the six trigonometric functions of theta for the following values of x, y, and r.
x = 0, y = -2, r = 2

sec theta = ?

Answer 1

secant is the reciprocal of cosine
cosine is the first coordinate
however, zero has no reciprocal, because you cannot divide by zero

Answer 2

actually in your case \(\cos(x)=\frac{0}{2}=0\) and \(\sin(x)=\frac{-2}{2}=-1\) but you still cannot divide by 0