40. P.t sin (x+y)÷sin (x-y)=tanx+tan y÷tanx-tan y

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y = {cot}^{- 1} (\sqrt{cos x}) - {tan}^{- 1} (\sqrt{cos x}) P . T sin y = {tan}^{2} x / 2

x

y =

t a n {\frac{t a n x - 1}{\sqrt{2 t a n x}}}

\frac{sin (x + y)}{sin (x - y)} = \frac{tan x + tan y}{tan x - tan y}

\frac{sin (x + y)}{sin (x - y)} = \frac{tan x + tan y}{tan x - tan y}

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