EXAMPLE 2
Draw the graph of the function y = 4 + 3 sin x. Find its maximum and minimum values.
Solution : y = 4 + 3 sin x
1) The maximum value of y = 4 + 3 sin x is M = d + a = 4 +3 = 7. Thus maxima attained at
x = 45^{0} and 225^{0}
2) The minimum value is m = d  a = 4  3 = 1. Thus minima attained at x =
135^{0} and 315^{0}.
EXAMPLE 3
Draw the graph of
Solution: The values of x and y are tabulated as
i) The period of is T = 4p i.e 360^{ 0 }
ii) Its maximum value M = d + a = 0 + = 0.75
at x = p i.e 180^{ 0 }
iii) Its minimum value m = d  a = = 0.75
at x = 3p i.e. 540^{0}
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Fig.24
