What is $sintheta+3tantheta$ in terms of $costheta$ ?

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Answer 1 · 2015-12-10T04:55:20

Write y = sin x + 3tan x in terms of cos x

$y = sin x + (3sin x)/(cos x) = (cos x.sin x + 3sin x)/(cos x) =$

$= ((sin x)(cos x + 3))/(cos x) = [(1 - cos x)^(1/2)(cos x + 3)]/(cos x)$

What is sintheta+3tantheta sintheta+3tantheta in terms of costhetacostheta?