SCENARIO 1 Now, suppose we have a beam that is anchored at the origin
(0,0)
, and it is rotating in a circular path around the origin from Position A to Position B, as seen in the graphs below. First, determine the value of the
y
-coordinate in Position B above SHOW YOUR WORK and round your answer to three decimal places. Remember: the point traveled along a circular path to move from Position A to Position B - this is important!
y=
Now, set up, BUT DO NOT SOLVE, an equation involving an inverse trigonometric function that gives the angle
\theta
that the point
P
rotated around the origin. Equation: Now solve the equation you set up in Question 2 to find the value of
\theta
. Give your answer in degrees, and round your answer to two decimal places. Now, suppose the same beam rotates from Position A to Position B as shown below. Determine the value of the
y
-coordinate in Position B above. SHOW YOUR WORK and round your answer to three decimal places. Now, use your result from Question 6 to find the value of
\theta
, the angle through which the beam rotated. Give your answer in degrees, and round your answer to two decimal places. How did you use your answer from Question 6 to obtain your answer from Question 8? Explain in 1-2 complete sentences.