Find cos 2x -2sin 2 x cos 2 x

Formula: cos 2x = 1 2sin^2 x cos 2x + 2sin^2 xcos^2 x = 1 2sin^2 x + 2sin^2 xcos^2 x = 1cos^2 x = ^2 x ...

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Quotient Rule of Differentiation

Find cos 2x...

Question

Find $\frac{cos 2 x + 2 {sin}^{2} x}{{cos}^{2} x}$

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Solution

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\int \frac{cos 2 x + 2 {sin}^{2} x}{{cos}^{2} x} d x

lim x \to 0 \frac{sin 2 x + 2 {sin}^{2} x - 2 sin x}{cos x - {cos}^{2} x}

sin x = \frac{6 sin 30^{o} - 8 cos 60^{o} + 2 tan 45^{o}}{2 ({sin}^{2} 30^{o} + {cos}^{2} 60^{o})}

x =

cos x

+ {cos}^{2} x = 1

{sin}^{12} x + 3 {sin}^{10} x +

3 {sin}^{8} x + {sin}^{6} x + {sin}^{4} x + 2 {sin}^{2} x - 2

{lim}_{x \to - 1} \frac{cos 2 - cos 2 x}{x^{2} - | x |}

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