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Algebra II & Trigonometry
A2.A.70
Date ________________________________________
Graph of y = sin x and y = cos x
Sketch and recognize one cycle of a function of the form y = Asin Bx or y = Acos Bx
1. Which number does not have a point on the real-number line corresponding to the point on the unit circle that determines
an angle measure of 0 radian?
(1) 6
(2) 2
(3) 3
(4) 4
2. A point on the unit circle determines an angle of 3 radians. Which real number does not have a point on the number line
that corresponds to point P on the circle?
(1) 3 + 2
(2) 3  2
(3) 3 + 
(4) 3 + 10
3. (a) Sketch the graph of y = sin x from x = -2 to x = 2.
(b) What is the period of y = sin x?
(c) What is the largest value of y = sin x?
(d) What is the smallest value of y = sin x?
(e) What is the range of y = sin x?
(f) For what values of x in the interval -2  x  2 is sin x = 1?
(g) For what values of x in the interval -2  x  2 is sin x = -1?
4. (a) Sketch the graph of y = cos x from x = -2 to x = 2.
(b) What is the period of y = cos x?
(c) What is the largest value of y = cos x?
(d) What is the smallest value of y = cos x?
(e) What is the range of y = cos x?
(f) For what values of x in the interval -2  x  2 is cos x = 1?
(g) For what values of x in the interval -2  x  2 is cos x = -1?