(a) Copy and complete the table of values for y = 3Sinx + 7Cosx for 0^\circ
xº
0
20
40
60
80
100
120
140
160
180
y
7.0
4.2
-0.9
(b) Using a scale of 2cm to 20^\circ on the x-axis and 2cm to 2 units on the y-axis, draw the graph of y = 3Sinx + 7Cosx for 0^\circ
(c) Using the graph, find the;
(i) value of y when x= 150^\circ,
(i) range of values of x for which y > 0.
Verified Correct Answer: .
Step-by-Step Mathematical Solution
xº
0
20
40
60
80
100
120
140
160
180
y
7.0
7.6
7.3
6.1
4.2
1.7
-0.9
-3.4
-5.6
7.0
(b)
(C)(i) From the graph, When x is 150^\circ y = -4.6 \pm 0.2
(ii) Range of value of x for which y > is x: 0º \le x \le 113
Source: Myschool Past Questions Archive (Record #65867)