Q-Find-the-minimum-value-of-3cosx-4sinx-8-

Question Number 81763 by Khyati last updated on 15/Feb/20

Q . F i n d t h e m i n i m u m v a l u e o f

3 c o s x + 4 s i n x + 8 .

Commented by john santu last updated on 15/Feb/20

f (x) = 3 \cos x + 4 \sin x + 8

f (x) = \sqrt{9 + 16} \cos (x - θ) + 8, w h e r e θ = \tan^{- 1} (\frac{4}{3})

f (x) = 5 \cos (x - θ) + 8

m i n i m u m v a l u e i s - 5 + 8 = 3

Commented by Khyati last updated on 16/Feb/20

D o y o u h a v e a n y o t h e r m e t h o d e x c e p t

d i f f e r e n t i a t i o n ? ?

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