2:02 AM Thu May 11 37% Q MATH_1036_Assignment 1_2023SP_SPopi... X . . . Ex01Microscope MATH_1036_Assignment 1 2... X CHMI 2220 - Unit 1 6. Given sin 0 = = with 0 e ,,, 7 , find the values of the other 5 trigonometric functions. MATH 1036EL Page:52:02 AM Thu May 11 37% Q MATH_1036_Assignment 1_2023SP_SPopi... X Ex01Microscope MATH_1036_Assignment 1 2... X CHMI 2220 - Unit 1 8 O 5. Let f(x) = - and g(x) = x2 -4x. What are the domains of f(x) and g(x)? Construct the following new functions giving the domain of each of them: (fg) (x) fog(x) gof(x) MATH 1036EL Page:42202 AM Thu May 11 "3 L 37% I ' MATH_1036_Assignment1_2023$P_SPopi... v ExO1Microscope -' MATH_'|036_ASSignment '|_2... CHMI 2220 , Unit 1 [ oTo 4. Suppose the following three transformations are applied one after another (in the order they are given below) to the graph of the function y : :32: (a) shifting to the left by 2 units (b) reecting in the :1: axis (C) shifting downwards by 3 units Write the equation of the final graph. Show a rough sketch of the final graph. MATH 1036EL