Question: 1. Sketch using the same set of axes: for 2 x 2 . What can you observe? 2. Sketch the graph of the

1. Sketch using the same set of axes:

(a) y = 2sin.x (b) y = sin x 1 (c) y = =sin.x 2

for −2π ≤ x ≤ 2π . What can you observe?

2. Sketch the graph of the function

y = cos x 1 -T 4

for −2π ≤ x ≤ 2π .
3. Sketch the graph of the function

y = cos 3 X 2.x)

for −2π ≤ x ≤ 2π . What is the period of the function?
4. Sketch the graph of the function

1 y=sin 2x + 7 3 3

for 0 ≤ x ≤ 2π . What is the period of the function?

5. Using the identity

sin(A + B) = sin Acos B+cos Asin B express the function T y=5sin 3x+= 3 in the form Csin 3x + D cos 3x

where C and D are constants.

(a) y = 2sin.x (b) y = sin x 1 (c) y = =sin.x 2

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