Number of roots of the equation - sin x cos x -2-tan2x-2x- -3-x- -0-4- - are-

|sin x cos x |+√( 2+tan ^ 2 x + ^ 2 x nbsp;) =√( 3 ) where x∈ [0,4π ] We know that y+ 1 / y ∈ [2,∞ ) if y gt;0 So tan ^ 2 ...

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Solving Homogeneous Differential Equations

Number of roo...

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Number of roots of the equation $| sin x cos x | + \sqrt{2 + {tan}^{2} x + {cot}^{2} x} = \sqrt{3}, x ϵ [0, 4 π]$ are,

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| sin x cos x | + \sqrt{2 + {tan}^{2} x + {cot}^{2} x} = \sqrt{3}

(3 + cos x)^{2} = 4 - 2 {sin}^{8} x, x ϵ [0, 5 π]

f : [0, 4 π] \to [0, π]

f (x) = c o s^{- 1} (c o s x)

x ϵ [0, 4 π]

f (x) = \frac{10 - x}{10}

l o g_{\frac{1}{\sqrt{2}}} s i n x > 0, x ϵ [0, 4 π]

\frac{π}{4}

x ϵ [0, 4 π]

∣ \sqrt{3} cos x - sin x ∣\geq 2

∣ c o s (x + π / 6) ∣= 1 \Rightarrow

∣ \sqrt{3} cos x - sin x ∣\geq 2

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