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GeometryQuestion and Answers: Page 89

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Find the maximum of f(x)=cos x + ((λ tan x−1)/(tan x−λ)) sin x in terms of λ with λ>1 and 0<x<tan^(−1) λ

$F i n d t h e m a x i m u m o f$ $f (x) = \cos x + \frac{λ \tan x - 1}{\tan x - λ} \sin x$ $i n t e r m s o f λ$ $w i t h λ > 1 a n d 0 < x < \tan^{- 1} λ$

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