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Kamila [148]
3 years ago
13

Describe the motion of solid particles.

Mathematics
1 answer:
TiliK225 [7]3 years ago
5 0
Gas vibrate and move<span> freely at high speeds. liquid vibrate, </span>move<span> about, and </span>slide<span>past each other. solid vibrate (jiggle) but generally do not </span>move<span> from place to place.

</span>
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Find sin x/2, cos x/2, and tan x/2, if cos x = -12/13, 180 degrees is less than x which is less than 270 degrees
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Cos x = -12/13
sin x = -sqrt(13^2 - 12^2) / 13 = -5/13
tan x = 5/12

tan x/2 = (1 - cos x) / sin x = 1 - (-12/13) / -5/13 = 25/13 * -13/5 = -5

2sin^2 x/2 = 1 - cos x = 1 - (-12/13) = 25/13
sin^2 x/2 = 25/13 / 2 = 25/26
sin x/2 = 5/√26

sin x/2 / cos x/2 = tan x/2
cos x/2 = sin x/2 / tan x/2 = 5/√26 / -5 = -1/√26

sin x/2 = 5/√26
cos x/2 = -1/√26
tan x/2 = -5
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