trigonometry - How to simplify $\sin^4 x+\cos^4 x$ using ...
$\sin^{4}x+\cos^{4}x$ I should rewrite this expression into a new form to plot the function. \begin{align} & = (\sin^2x)(\sin^2x) - (\cos^2x)(\cos^2x) \\ & = (\sin^2x)^2 - (\cos^2x)^2 \\ &...
How do you factor and simplify sin^4x-cos^4x? - Socratic
Aug 29, 2016 · Explanation: sin4x −cos4x = (sin2x +cos2x)(sin2x − cos2x) Reminder: sin2x +cos2x = 1, and. cos2x − sin2x = cos2x. Therefore: sin4x −cos4x = − cos2x. Answer link.
sin^4 (x)+cos^4 (x) - Wolfram|Alpha
sin^4 (x)+cos^4 (x) Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….
simplify sin^4x+cos^4x - Symbolab
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Graph sin (4x)+cos (4x) | Mathway
Graph. sin(4x)+cos(4x) sin ( 4 x) + cos ( 4 x) Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
Solve sin^4x+cos^4x | Microsoft Math Solver
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Solve sin(4x)+cos(4x) | Microsoft Math Solver
The double angle formula is \ 2 \sin\theta\cos\theta = \sin(2\theta) \iff \sin\theta\cos\theta = \frac{1}{2} \sin(2\theta). By applying this formula with \theta = 2x, we obtain \sin4x\cos4x=\frac{1}{2} \sin(8x).
sin^4x+cos^4x - Wolfram|Alpha
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How do you simplify sin^4 x - cos^4 x? - Socratic
Feb 19, 2016 · #sin^2(x) + cos^2(x) = 1# #cos(2x) = cos^2(x) - sin^2(x)# We have: #sin^4(x)-cos^4(x) = (sin^2(x)+cos^2x())(sin^2(x)-cos^2x())# #=(1)(-cos(2x))# #=-cos(2x)#
How to simplify $\\sin^4 (x)$? - Mathematics Stack Exchange
Folks, how can $\sin^4(x)$ be simplified to a trig function with power of 1? I tried: $(\sin^2(x))^2 = ((1-\cos2x)/2)^2$ but still getting $\cos x$ to the power of $2$. Wolframalpha only shows the ...
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