(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
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i get decimals for the answers, i'm just wonder how i would answer it on a test
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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
if I were doing this, I would say 5pi/6 is the same as 30 degrees in the 2nd quadrant.
sin will be +, cos -
That is correct for 8cos(5pi / 6)
So you have the concept, just apply it to the rest.
v(5π/6)=-4 .. right
a(5pi/6) right as well
thank you guys learned alot
I don't know that it really helps me memorize sin of these angles, it is interesting: