Question 1156809
the angle is in the third quadrant because the value of x is -3 and the value of y is -4.
the hypotenuse of the right triangle formed is equal to sqrt((-4)^2+(-3)^2) = sqrt(25) = 5.
the secant of an angle is equal 1 divided by the cosine of the angle.
the cosine of the angle formed is equal to the adjacent side (x-value) divided by the hypotenuse.
that becomes -3/5.
the secant is equal to 1 / the cosine.
this makes it equal to 1 / (-3/5) which is equal to 5 / -3 which is equal to -5/3.
that's your solution.