Solve cos

Use cos(x+y)=cos(x)cos(y)-sin(y)sin(x) where x=fracpi 2 và y=fracpi 3 lớn obtain the result.

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cos(fracpi 2+fracpi 3)=cos(fracpi 2)cos(fracpi 3)-sin(fracpi 3)sin(fracpi 2)
1/2Explanation:Trig table và unit circle --> displaystylecosleft(frac-5pi3 ight)=cosleft(fracpi3-frac6pi3 ight)=cosleft(fracpi3-2pi ight)=cosleft(fracpi3 ight)=frac12
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displaystyle-fracsqrt22 Explanation:Trig unit circle & trig table give -->displaystylecosleft(frac-5pi4 ight)=cosleft(frac3pi4-frac8pi4 ight)=cosleft(frac3pi4 ight)=-fracsqrt22
cosine, left parenthesis, start fraction, minus, 5, pi, divided by, 4, over fraction, right parenthesis, equals, cosine, left parenthesis, start fraction, 3, pi, divided by, 4, over fraction, minus, start fraction, 8, pi, divided by, 4, kết thúc fraction, right parenthesis, equals, cosine, left parenthesis, start fraction, 3, pi, divided by, 4, over fraction, right parenthesis, equals, minus, start fraction, square root of, 2, over square root, divided by, 2, end fraction" role="text" class="MathExpression_mathExpression__22QI1 ">
How bởi you find the exact value of displaystylecosleft(-frac5pi12 ight) using the half angle formula?
https://socratic.org/questions/how-do-you-find-the-exact-values-of-cos-5pi-12-using-the-half-angle-formula
displaystyleleft(cosleft(-frac5π12 ight)=fracsqrt2–sqrt32 ight) Explanation:The cosine half-angle formula is displaystylecosleft(fracx2 ight)=±sqrtfrac1+cosx2 ...
Why is lim_ h o0 dfrac cos (frac 5pi 6 +h) - cos (frac 5pi 6) h not the same as 'what is the derivative of cos (frac 5pi 6)'?
https://www.quora.com/Why-is-lim_-h-to0-dfrac-cos-frac-5-pi-6-+h-cos-frac-5-pi-6-h-not-the-same-as-what-is-the-derivative-of-cos-frac-5-pi-6
It is. Consider this :cos A- cosB= -2sin <(A+B)/2>sin<(A-B)/2.> ∴lim (h➛0) /h= lim(h➛0) <-2 sin (5/6+h/2)sin(h/2)>/h =lim(h➛0) <-sin(56+h/2)> =-sin(5/6) . 1 ...

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Daniel L. Apr 21, 2015displaystylecosleft(frac-7pi6 ight)=-left(fracsqrt32 ight) First stepdisplaystylecosleft(-frac76pi ight)=cosleft(frac76pi ight) ...
How do you use half-angle formulas khổng lồ find exact values of displaystylesinleft(frac-17pi12 ight) & displaystylecosleft(frac-17pi12 ight) ?
https://socratic.org/questions/how-do-you-use-half-angle-formulas-to-find-exact-values-of-sin-17pi-12-and-cos-1
Calldisplaystylet=frac-17pi12 Use the trig identity:displaystyle2sin^2t=1-cos2t Explanation: displaystylesint=sinleft(2pi-frac17pi12 ight)=sinleft(frac7pi12 ight) ...
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cos(fracpi 2+fracpi 3)=cos(fracpi 2)cos(fracpi 3)-sin(fracpi 3)sin(fracpi 2)
Use cos(x+y)=cos(x)cos(y)-sin(y)sin(x) where x=fracpi 2 and y=fracpi 3 to obtain the result.
left< eginarray l l 2 và 3 \ 5 và 4 endarray ight> left< eginarray l l l 2 và 0 và 3 \ -1 & 1 và 5 endarray ight>
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