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Unit 6 Day 4 Class Practice
Here is a unit circle where 
/_QPR has a measure of 
(pi)/(12) radians and 
R~~(0.97,0.26).

Angle 
QPT measures 
(11 pi)/(12) radians. What are the approximate coordinates

Unit 66 Day 44 Class Practice\newlineHere is a unit circle where QPR \angle Q P R has a measure of π12 \frac{\pi}{12} radians and R(0.97,0.26) R \approx(0.97,0.26) .\newline11. Angle QPT Q P T measures 11π12 \frac{11 \pi}{12} radians. What are the approximate coordinates

Full solution

Q. Unit 66 Day 44 Class Practice\newlineHere is a unit circle where QPR \angle Q P R has a measure of π12 \frac{\pi}{12} radians and R(0.97,0.26) R \approx(0.97,0.26) .\newline11. Angle QPT Q P T measures 11π12 \frac{11 \pi}{12} radians. What are the approximate coordinates
  1. Identify Reference Angle: Identify the reference angle for (11π)/(12)(11\pi)/(12) radians.\newlineReference angle = π(11π)/(12)=(12π)/(12)(11π)/(12)=(π)/(12)\pi - (11\pi)/(12) = (12\pi)/(12) - (11\pi)/(12) = (\pi)/(12).
  2. Find Coordinates of T: Use the coordinates of point R to find the coordinates of point T. Since R is at (π12)(\frac{\pi}{12}) and T is at (11π12)(\frac{11\pi}{12}), T is the reflection of R across the y-axis. T's xx-coordinate is the negative of R's xx-coordinate. T's yy-coordinate is the same as R's yy-coordinate.
  3. Calculate T's Coordinates: Calculate the coordinates of point TT.T(\-0.97, 0.26).

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