Mathematics

Mathematics

Problem

During a science exhibition a circular platform makes 7137\dfrac{1}{3} complete clockwise revolutions from its original position. Treat a clockwise rotation as negative. a. (i) Write the rotation of the platform as an angle in degrees. b. (ii) Find the angle coterminal with the rotation in part (i) that lies between 0∘0^{\circ} and 360∘360^{\circ}. c. (iii) Identify the quadrant in which the terminal side of the angle obtained in part (ii) lies. d. (iv) Convert the result of part (ii) to radians, leaving the answer in terms of π\pi.

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