Question: When defining inverse trigonometric functions, we restrict the function to an interval (or in some cases a union of intervals) of maximum length in which
When defining inverse trigonometric functions, we restrict the function to an interval (or in some cases a union of intervals) of maximum length in which the given function is one-to-one. This can be done in many different ways in addition to the "standard ways" that are discussed in the Text. Check if the following choices could be used to define the inverse of the given trigonometric function. (a) Restrict f(x)= sin x to [\pi ,2\pi ] Answer 1 Question 12(b) Restrict f(x)= cos x to [\pi ,2\pi ] Answer 2 Question 12(c) Restrict f(x)= tan x to (\pi ,2\pi ) Answer 3 Question 12(d) Restrict f(x)= cot x to (\pi ,2\pi )
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