if (0,-7) lies on the terminal side of angle theta in standard position, find each value sec(theta) , cot(theta) and sin(theta)

1 answer

(0,0),(9,-7).

x = 0, Y = -7.
r^2 = X^2 + Y^2,
r^2 = 0 + (-7)^2 = 49,
r = 7.

secA = r/X = 7/0 = Infinite.

cotA = X/Y = 0 / -7 = 0.

sinA = Y/r = -7 / 7 = -1.