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Wondermath
 5 years ago
The positions, p, of two objects, in metres, after t>= seconds are given by the following functions: p1(x)=xcosx+2 and p2=xsinx+1. When are the objects less than 2m apart during the first 20 secs?
Wondermath
 5 years ago
The positions, p, of two objects, in metres, after t>= seconds are given by the following functions: p1(x)=xcosx+2 and p2=xsinx+1. When are the objects less than 2m apart during the first 20 secs?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well, that depends on x ... did you mean that p1(t) = tcost(t) + 2 and p2(t) = tsin(t) + 1 after t seconds?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If so, you want to find p1(t)p2(t) < 2.00

Wondermath
 5 years ago
Best ResponseYou've already chosen the best response.0oh so wud i have to use graphing technology to find that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Not necessarily you can derive a crazy trig identity like: sin(x)cos(x) = sqrt(2) (sin (x  pi/4)

mathmate
 5 years ago
Best ResponseYou've already chosen the best response.2Assuming \[p1(t)=t \cos(t)+2\ and\ p2(t)=t \sin(x)+1\] Then p1(t)p2(t) <2 has 7 intervals between 0 and 20 seconds. You can find them analytically, and preferably graphing first.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0are your trig functions cosine and sine expecting Degrees or Radians?

Wondermath
 5 years ago
Best ResponseYou've already chosen the best response.0thanks guys i got it!
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