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

$$Q.Findtheminimumvalueof$$$$3cosx+4sinx+8.$$

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

$$f\left(x\right)=3\cos x+4\sin x+8$$$$f\left(x\right)=\sqrt{9+16}\cos (x-\theta )+8,where\theta ={\tan }^{-1}\left(\frac{4}{3}\right)$$$$f\left(x\right)=5\cos (x-\theta )+8$$$$minimumvalueis-5+8=3$$

Commented by Khyati last updated on 16/Feb/20

$$Doyouhaveanyothermethodexcept$$$$differentiation??$$

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