Simplify- sin 2x2cos2 x

The correct option is D tan x sin 2x2cos^2 x 2sin x cos x2cos^2 x sin xcos x tan x ...

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The Problem of Areas

Simplify: s...

Question

Simplify: $\frac{sin 2 x}{2 {cos}^{2} x}$

tan x

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cot x

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csc x

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sec x

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Solution

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is equal to

A. tan x + cot x + C

B. tan x + cosec x + C

C. − tan x + cot x + C

D. tan x + sec x + C

l i m x \to \frac{3 π}{4} \frac{1 + \sqrt[3]{tan x}}{1 - 2 {cos}^{2} x}

{sin}^{2} x tan x + {cos}^{2} x cot x + sin 2 x = tan x + cot x

cos 2 x + sin 2 x = cot x

2 {cos}^{2} x + {cos}^{2} 2 x = 1

f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \begin{matrix} {(1 - | tan x |)}^{a / | tan x |}, & - \frac{π}{4} < x < 0 \end{matrix} \begin{matrix} b, & x = 0 \end{matrix} \begin{matrix} e^{\frac{sin 3 x}{sin 2 x}}, & 0 < x < \frac{π}{4} \end{matrix} \end{matrix}

x = 0

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