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18434752-Gr12-Advance-Function-Ch5-Review

18434752-Gr12-Advance-Function-Ch5-Review - Chapter 5...

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Chapter 5 RE VIE W 5.1 Graphs of Sine, Cosine, and Tangent Functions 1. The graph of a sine function has a maximum value of 6 and a minimum value of 2. a) Determine the amplitude of the function. b) Determine the vertical translation of the function. 2. Write an equation for a cosine function with a period of 3 π and a phase shift of π _ 3 . 3. The piston in a lawn mower motor moves up and down 30 times in 1 s. Its total travel from the top position to the bottom position is 10 cm. The vertical position, y , in centimetres, versus time, t , in seconds, can be modelled using a sinusoidal function. a) Write an equation to model the motion of the piston. b) Is this the only possible equation? Justify your answer. 5.2 Graphs of Reciprocal Trigonometric Functions 4. Determine all values of x in the interval [0, 2 π ] such that csc x 4. Round your answers to two decimal places. 5. a) Explain the difference between sec 1 _ 2 and cos 1 ( 1 _ 2 ) . b) Determine a value for each expression in part a). 6. When the Sun is at an angle of elevation x , a tree with height 12 m casts a shadow of length s , in metres.
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