on the unit circle, sketch ( \theta = 0.85pi ) radians in standard position. then use the coordinates shown…

on the unit circle, sketch ( \theta = 0.85pi ) radians in standard position. then use the coordinates shown, which are rounded to the hundredths place, to find ( cos(0.85pi) ) and ( sin(0.85pi) ). write your answers to the hundredths place.

on the unit circle, sketch ( \theta = 0.85pi ) radians in standard position. then use the coordinates shown, which are rounded to the hundredths place, to find ( cos(0.85pi) ) and ( sin(0.85pi) ). write your answers to the hundredths place.

Answer

Explanation:

Step1: Recall the unit - circle definitions

On the unit circle (x = \cos\theta) and (y=\sin\theta), where ((x,y)) is the point on the unit circle corresponding to the angle (\theta) in standard position.

Step2: Calculate the angle value

We know that (\theta = 0.85\pi\approx0.85\times3.14 = 2.669) radians. Using a calculator (in radian mode): (\cos(0.85\pi)\approx - 0.66) (\sin(0.85\pi)\approx0.75)

Answer:

(\cos(0.85\pi)=- 0.66) (\sin(0.85\pi)=0.75)