Question

Find the maximum value of the following.
(i) 5 sin x + 12 cos x​

Answer 1

dy/dx = 5.cosx – 12 sinx = 0 for a turning point, giving tanx= 5/12 and therefore

x = 22.62˚ ± n.360˚ for maxima and

x= 202.62˚ ± n.360˚ for minima

Amplitude = √(12²+5²) = 13 so

Max value =13 and min. value =-13

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Step-by-step explanation:

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