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Cosine Rule

If x>0 then p...

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If x>0 then prove that log{x+√(x²+1)} > tan-¹x

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f (x) = x tan x, x \in (0, \frac{π}{2})

then prove that

\frac{tan x_{2}}{tan x_{1}} > \frac{x_{1}}{x_{2}}

0 < x_{1} < x_{2} < \frac{π}{2}

\tan (x + \frac{π}{3}) + \tan (x + \frac{2 π}{3}) = 3

, then prove that

\frac{3 \tan x - \tan^{3} x}{1 - 3 \tan^{2} x} = 1

y = \log (\sqrt{x} + \frac{1}{\sqrt{x}})

\frac{d y}{d x} = \frac{x - 1}{2 x (x + 1)}

{tan}^{- 1} x < x

x > 0

sec x + tan x = 0

then prove that

\frac{d^{2} y}{d x^{2}} = \frac{cos x}{{(1 - sin x)}^{2}}

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