Calculus Volume 1

Chapter 1 | Functions and Graphs

95

226. [T] A local art gallery has a portrait 3 ft in height that is hung 2.5 ft above the eye level of an average person. The viewing angle θ can be modeled by the function θ = tan −1 5.5 x −tan −1 2.5 x , where x is the distance (in feet) from the portrait. Find the viewing angle when a person is 4 ft from the portrait. 227. [T] Use a calculator to evaluate tan −1 (tan(2.1)) and cos −1 (cos(2.1)). Explain the results of each. 228. [T] Use a calculator to evaluate sin(sin −1 (−2)) and tan(tan −1 (−2)). Explain the results of each.

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