Expand the Trigonometric Expression tan(4x) Step 1. Factor out of . Step 2. Simplify the numerator. Tap for more steps... Step 2.1. Apply the tangent double-angle identity. Step 2.2. …

Dec 16, 2024 · Ex 3.3, 23 Prove that tan⁡4𝑥 = (4 tan⁡〖𝑥 (1−tan2𝑥)〗)/(1 − 6 tan2 𝑥+tan4 𝑥) Solving L.H.S. tan 4x We know that tan 2x = (2 𝑡𝑎𝑛⁡𝑥)/(1 − 𝑡𝑎𝑛2 𝑥) Replacing x with 2x tan (2 × 2x) = (2 𝑡𝑎𝑛⁡2𝑥)/(1 …

Begin by entering your mathematical expression into the above input field, or scanning it with your camera. Once you've entered the function and selected the operation, click the 'Go' button to …

\left(\sec(4x^{1})\right)^{2}\times 4x^{1-1} The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0.

Dec 16, 2024 · Ex 7.3, 16 ∫1 〖tan^4 𝑥〗 𝑑𝑥 ∫1 〖tan^4 𝑥〗 𝑑𝑥=∫1 〖tan^2 𝑥 .tan^2 𝑥〗 𝑑𝑥 =∫1 〖(sec^2⁡𝑥− 1) tan^2⁡𝑥 ...

Use the form atan(bx−c)+ d a tan (b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Since the graph of the function tan t a n does not have a …

$$=\dfrac{2 \tan 2x}{1-\tan^2 2x}$$ $$=\dfrac{2(\dfrac{2\tan x}{1-\tan^2x})}{1-(\dfrac{2\tan x}{1-\tan^2x})^2}$$ $$=\dfrac{4\tan x (1-\tan^2x)}{(1-\tan^2x)^2-4\tan^2x}$$

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Evaluate : \[\int\limits_0^\pi \frac{x \tan x}{\sec x \cdot cosec x}dx\] . Find `int_ (sin "x" - cos "x" )/sqrt(1 + sin 2"x") d"x", 0 < "x" < π / 2 ` Find the area of the triangle whose vertices are (-1, 1), …

Oct 21, 2016 · How do you integrate (tan x)4? The trick with this one is to split it up into two tan2x terms and use some identities. ∫tan4xdx. = ∫tan2xtan2xdx. = ∫tan2x(sec2x − 1)dx. = …