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DO NOT USE A CALCULATOR. Question 1: 33 Marks (1.1) Find the terminal points P(X,y) on the unit circle determined by the given value 1
DO NOT USE A CALCULATOR. Question 1: 33 Marks (1.1) Find the terminal points P(X,y) on the unit circle determined by the given value 1 (a) t=\".r"- (3) (b) t= "". (3) (c) t='?T". (3) (1.2) Suppose (g, '3') is the terminal point, on the unit circle, determined by I. Find the terminal point determined by each of the following: (a) T (3) :1: (b) t+ (3) (C) 11? (3) (d) tJI' (3) (1.3) Find the reference number 7 for each of the following values of 1'. (a) t= \"T" (3) (b) t= 4 (3) (c) t= +' (3) (d) t= 57" (3) 29 Question 2: 13 Marks Complete the table below. Note that l is an angle measured in radians. m- sin(27t f) cos(1'+ 7t) Smallest positive value of f 2 Question 3: 20 Marks Find the amplitude, period and phase shift of the function dened by each of the following equations, and sketch the graph of one complete period. (3.1) y=4sin%(x+7t). (10) (3.2) y = cos(3x It) + 2
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