Provide an appropriate response.Graph f(x) = cos-1 and g(x) = tan-1 . Explain why the graph looks like it does.

Question

What will be an ideal response?

Answer 1

When x is positive these graphs are identical because they are both giving the same angle.    When x is negative both functions are still referring to the same angle. However, inverse cosine gives values between ?/2 and ? while inverse tangent gives values between -?/2 and 0.