Question

The terminal side of an angle measuring StartFraction pi Over 6 EndFraction radians intersects the unit circle at what point? (StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half) (one-half, StartFraction StartRoot 3 EndRoot Over 2 EndFraction) (StartFraction StartRoot 3 EndRoot Over 3 EndFraction, one-half) (one-half, StartFraction StartRoot 3 EndRoot Over 3 EndFraction)

Answer 1

the answer is attached in the picture below

Answer 2

A.
`((√(3) )/(2) ,(1)/(2) )`

Explanation:

From the diagram produced, we require the coordinate of point P.

Applying trigonometric ratio in the right triangle.

`sin \theta=(Opposite)/(Hypotenuse) \\sin (\pi /6)=(y)/(1)sin (\pi /6)=y\\y=(1)/(2)`

Similarly

`cos \theta=(Adjacent)/(Hypotenuse) \\sin (\pi /6)=(x)/(1)cos (\pi /6)=x\\x=(√(3))/(2)`

The coordinates (x,y) of the point of intersection P are therefore
`((√(3) )/(2) ,(1)/(2) )`