The point P(k,24) is 25 units from the origin. If P is on the terminal arm of an angle in standard position, find, for each value of k.

Question

a) The sin of the angle
b) The cosine of the angle

Answer 1

by Pythagoras

k^2 + 24^2 = 25^2
k^2 + 576 = 625
k^2 = 49
k = ± 7

if k = +7
sinØ = 24/25
cosØ = 7/25

if k= -7
sinØ = 24/25
sinØ = -7/25