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BodhiAI
Nov. 9, 2019

Maximum and Minimum Values of acosx+bsinx & other Function:

Greatest and Least Values of a sinθ+ bcosθ

Put a = r cos α , b = r sin α

so that

Then

But the greatest and least values of are 1 and -1 respectively. Therefore the greatest and least values of

are r and -r i.e.

and