Given an angle pheta in standard position, if P(�ã3/2, -1/2) lies on the terminal side and on the unit circle, find sin pheta and cos pheta.
if the terminal side ends at P(√3/2 , -1/2) then
Ø must in quadrant IV
(we know cos30° = √3/2 and also sin 30°=1/2)
cosØ = √3/2
sinØ = -1/2
Ø = 330°
To find the values of sin(θ) and cos(θ) for an angle θ in standard position, we can use the coordinates of the point P(�ã3/2, -1/2) on the unit circle.
The x-coordinate of P represents the value of cos(θ), and the y-coordinate of P represents the value of sin(θ).
In this case, the x-coordinate of P is 3/2, which implies that cos(θ) = 3/2.
The y-coordinate of P is -1/2, which implies that sin(θ) = -1/2.
Therefore, sin(θ) = -1/2 and cos(θ) = 3/2.