Find the terminal point Px y on the unit circle determined b

Find the terminal point P(x, y) on the unit circle determined by the given value of t. t= -/6 t=5/6

Solution

The reference angle of -/6 is 5/6 in quadrant II where sin>0, cos<0, tan<0

sin(5/6)=x/y=1/2

y = 2x

In a unit circle:

x^2+y^2=1
x^2+4x^2=1
5x^2=1
x^2=1/5
x = -1/5
y = 1/25
P(x,y)=P(-1/5 ,1/25 )