) Determine constants A, B, C, and D so that the graph of y = A· sin(B(x - C)) + D matches the graph given above. (b) Determine constants A, B, C, and D so that the graph of y = A· cos(B(x - C)) + D...

Worksheet #3 MATH 127: Precalculus II 7/18 Name: Directions: 1) You must write up your solutions individually. 2) Show all work for full credit. 3) Clearly indicate your ?nal answer. 4) Each question is worth 3 points for a total of 15 points. This worksheet is due on Tuesday, July 25th at 8:00am. 1. Consider the following graph. (a) Determine constantsA, B, C, and D so that the graph of y =A
sin(B(xC))+D matches the graph given above. (b) Determine constantsA, B, C, and D so that the graph of y =A
cos(B(xC))+D matches the graph given above.2. Evaluate each expression. If any are unde?ned, write “unde?ned.” � � ?? 7 1 (a) tan(arctan(17))= (b) cos cos = 4    p � � ?? 3 5 (c) sec arcsin = (d) sin arccos = 5 5 � � ?? � � ?? 3 3 1 1 (e) sin sin = (f) cot tan = 2 8 3. Rewrite the following expression as an algebraic expression in x. (i.e., no trigonometric functions should be used in your answer.) HINT: Draw a right triangle that has arctan(3=x) as one of its interior angles. � � ?? 3 sec arctan assuming that x 3 x 4. A passenger in an airplane ?ying at an altitude of 10 kilometers spots two towns directly   eastoftheplane. Theanglesofdepressiontothetownsare28 and55 ,respectively. Howfar apart are the towns? Provide appropriate units.5. In parts (a)-(c), use fundamental trigonometric identities to fully simplify each expression. There may be more than one correct form of each answer.
2 2 (a) sec (x) 1sin (x) 1 (b) 2 tan (x)+1 2 sec (x) (c) tan(x) tan(x)