(a) Copy and complete the table of values for y = 2 cos x + 3 sin x for 0\(^o\) \(\geq\) x  \(\geq\) 360\(^o\) 

x 0\(^o\) 60\(^0\) 120\(^o\) 180\(^o\) 240\(^o\) 300\(^o\) 360\(^o\)
y 2.0       - 3.6    

 

(b) Using a scale of 2cm to 60\(^o\) on the x-axis and 2cm to 1 unit in the y-axis, draw the graph of y = 2 cos x + 3 sin x for 0\(^o\) \(\geq\) 360\(^o\) 

 

(c) Using the graph, 

(i) Solve 2 cos x + 3 sin x = -1

(ii) Find, correct to one decimal place, the value of y when x = 342\(^o\)

 

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kingelliott
1 month ago

no diagram for cosine graph

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