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Tangent Function Spotlight

a. Determine the distance the light has traveled across the wall when θ=30°. b. Determine the time when θ=30°. c. Write a function that describes the angle, θ, at any given time t (in seconds). d. Is there an angle in which the light is not shining on the wall? e. Where is the beam when the light has rotated 150°? f. Create a function p(t) that describes the location of the light on the wall based on its original position at any given time t (in seconds).