(a) Copy and complete the table of values for y = 3Sinx + 7Cosx for
MATHEMATICS
WAEC 2022
(a) Copy and complete the table of values for y = 3Sinx + 7Cosx for 0°
| 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° on the x-axis and 2cm to 2 units on the y-axis, draw the graph of y = 3Sinx + 7Cosx for 0°
(c) Using the graph, find the;
(i) value of y when x= 150°,
(i) range of values of x for which y > 0.
Explanation
| 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° y = -4.6± 0.2
(ii) Range of value of x for which y > is x: 0º ≤ x ≤ 113
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