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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.