v.s
(b) Find the position, velocity, and acceleration of the mass at time t = 5π/6.
x(t) = 8 cos t
v(t) = -8sint
a(t) = -8cost
x(5π/6)=
v(5π/6)=
a(5π/6) =
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v.s
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i get decimals for the answers, i'm just wonder how i would answer it on a test
Coolsector
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cos(5pi/6) = -sqrt(3)/2
sin(5pi/6) = 0.5
Coolsector
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helps ?
phi
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you should memorize sin,cos and tan of 0,30,45, 60 and 90 degrees
you should know how to change between radians and degrees
radians *180/pi or degrees*pi/180
you should know how to figure out the signs depending on which quadrant you are in for sin, cos, tan
cwrw238
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a = -8 cos (5pi/6)
v.s
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okaay so i have to answer in radiants
phi
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if I were doing this, I would say 5pi/6 is the same as 30 degrees in the 2nd quadrant.
sin will be +, cos -
v.s
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x(5pi/6)=-4sqroot3
qpHalcy0n
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That is correct for 8cos(5pi / 6)
v.s
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okaay
qpHalcy0n
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So you have the concept, just apply it to the rest.
v.s
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v(t)=-4
v.s
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a(t)=4sqroot3
Coolsector
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v(5π/6)=-4 .. right
Coolsector
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a(5pi/6) right as well
v.s
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thank you guys learned alot
phi
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I don't know that it really helps me memorize sin of these angles, it is interesting:
angle sin(angle)
0 \(\frac{\sqrt{0}}{2}\)
30 \(\frac{\sqrt{1}}{2}\)
45 \(\frac{\sqrt{2}}{2}\)
60 \(\frac{\sqrt{3}}{2}\)
90 \(\frac{\sqrt{4}}{2}\)
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thank you