IIT JEE , AIEEE Forum - Mathematics , Trignometry - What are the maximum and minimum values of this function?

quantumphysicist91

thanks a lot man111 and everyone else... here is another problem i don't understand

f(x) = (1/2) sin2x + cosx

Find f^2 max + f^2 min

can we individually find min and max values, square them and add them?

or is something deeper implied since the question is given in this form?

again, differentiation is not allowed - only by transformations

puneet

hii

well ppl hav suggested gr8 methods .. the minimum is -3 .. which is quiet evident .. it cannot be less than that due to constriants that we have on the range of cos.

also, about the maximum .. i liked the quadratic appraoch method .. tht is gud .. n it gives a correct answer ..

cheers

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