a. Using parametric mode on your grapher, duplicate the graph of the circular relation y
Chapter 4, Problem R.6(choose chapter or problem)
a. Using parametric mode on your grapher, duplicate the graph of the circular relation y = arccos x shown in Figure 4-7c. Figure 4-7c b. Sketch the graph of y = cos1 x, the principal branch of y = arccos x. Explain the specifications used for selecting this principal branch. What is the range of this inverse cosine function? c. How is the graph of y = arccos x related to the graph of y = cos x? d. Find geometrically the exact value (no decimals) of sin (tan1 2). Check the answer by direct calculation. e. Write an equation for y = tan (cos1 x) that does not involve trigonometric or inverse trigonometric functions. Confirm your answer by plotting it together with the given function on the same screen. Sketch the result. f. Prove that cos (cos1 x) = x. g. Show on a uv-diagram the range of values of the functions sin1 and cos h. Explain why the prefix arc- is appropriate in the names arccos, arcsin, and so on. C
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