Knowledge/Understanding[ /22] 1. Given the following information about a sinusoidal function, complete each of the following tables. [ /10] a. Domain Range Amplitude Period Equation of the Axis of the Curve b. f(x) = 3cos |2x + , - 4 Domain Range Amplitude Period Equation of the Axis of the Curve\fMHF4U Assignment 4 5. Simplify sin , cos ? + s~ + cos " sing as one trigonometric expression. [ /2] 6. A wheel of a child's car revolves at 15 rpm. a. What is the angular velocity of the wheel in radians per seconds to two decimal places? [ /2] b. A painted dot on the circumference of the wheel is 12 cm from the centre of rotation of the wheel. How far does the dot travel in 5 s, to one decimal place? /2] The height of a nail in a bicycle tire as it rotates around is periodic in nature. The radius of the tire is 20 cm and at the current pedalling speed the tire rotates once every second. . Determine the equation of a sinusoidal function that models the height of the nail from the ground, h, as a function of time in cm, t, in seconds assuming that the nail starts on the ground at time zero. [ /2] b. At what time(s) during the first two seconds is the nail at a height of 10cm? Round the answer to two decimal places. [ /3]MHF4U Assignment 4 Communication [ /8] 8. Explain in words the transformations that are occurring to the parent function f(x) = sin x as it is transformed into g(x) = -3 sin _x + 7 + 4. [ /4] 9. Eason claims that y = is identical to y = sin-1 x. Is Eason correct? Justify with examples and graphs. [ /4] Thinking/Inquiry/Problem Solving [ /10] 10. Determine the exact value of cos 20, given that sin 0 = - 13 and It