a. Set 6 = arctan(a:). Use Right-Triangle Trigonometry (you must draw the appropriate right triangle), to show that sec(0) = \\/1 + m3. 1 1+m2' b. Use Theorem 2.7.7 and Part a. to show that di(a.rcta.n(:n)) = a: 2. The height (in feet) of an object at 15 minutes is given by h(t) = arctan(t)e'f(*), where the graph of f and its tangent line at 1 is given by ' Tangent line offat 1 a. What is the velocity of the object at 1 minute? Use proper units for your answer and give an exact answer (no decimals) b. From Part a., do we anticipate the object to rise or fall after 1 second? Explain your answer. 3. Use the rules of differentiation to compute the derivative of the following functions. Do not simpiify your answer. it is not necessary to state the properties used. a. x) = arcsin(h1(a:4 + 2:2 + 1)) + % 3 a: + arctan(w3 + 1) b 9(3) : ff 6 I L Int