3. As you know the function cos is not one-to-one. Let F: E E. {a} Find the largest interval :3; such that krr + 1 E l} and the restriction of cos to [k is one-to-one. {h} We will call air the inverse function of the restriction of cos to Is. What are the domain and the range of nilT Sketch its graph. [Make sure to label the axes appropriately.) {c} For which values of t E R and s E JR are the following equations true? Cltitll =t {1} okfcossn S {Li} Compute nk[ms(217}] and ms(o-k{2DlT]]I. {e} Beginning with Equation [1], take derivatives of both sides with respect to t to obtain an explicit innnuln for air 1 Hint: The answer is not nun] = 13