Find the maximum and minimum values of each of the following trigonometrical expression:`\ 5costheta+3sin(pi/6-theta)+4`

Explanation

Given as `f(theta) = 5 cos theta + 3 sin (π/6 – theta) + 4`


As we know that, `sin (A – B) = sin A cos B – cos A sin B
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`f(theta) = 5 cos theta + 3 sin ((π/6) – theta) + 4 `


`= 5 cos theta + 3 (sin (π/6) cos theta – cos (π/6) sin theta) + 4`


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