The point p(18, 24) is on the terminal side of θ. Evaluate sin θ
Solution:
Given point (18, 24) lies in the I quadrant.
Therefore,
OP = r = √(182 + 242)
= √(324 + 576)
= √900
r = √900
r = 30
Hence,
sin θ = y / r = 18 / 30 = 4 / 5
cos θ = x / r = 24 / 30 = 3 / 5
The point p(18, 24) is on the terminal side of θ. Evaluate sin θ
Summary:
The point p(18, 24) is on the terminal side of θ, in the given diagram. The value of sin θ is 4 / 5.
