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The maximum value of 5 cosx + 3cos(x + 60) + 3 is


a)      5


b)      11


c)      10


d)      -1


8 years ago

Answers : (1)

vikas askiitian expert
509 Points
							

5cosx + 3cosx+60 + 3

5cosx + 3[cosxcos60 - sinxsin60] + 3

5cosx + 3[cosx/2 - (root3/2)sinx] + 3

(13/2)cosx - (3root3/2)sinx + 3

 

let 13/2 = a & 3root3/2 = b then

expression becomes

acosx - bsinx + 3

maximum value of this type of expression is equal to

[a2+b2]1/2+3 = maximum value

 

after plugging values of a,b we get

491/2+3 = max value

 10 = max value

 -4 = minimum value

 

option c) is correct

8 years ago
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