This formula only applies if the track is circular. If it is, then we write the equation:
2*r*pi=400
Dividing by 2pi, we see that:
r=200/pi
This is approximately 63.66.
Your work appears to be correct.
The results from a graphing calculator are in agreement.
<h3>Answer: C) none of the equations are identities</h3>
If you plugged theta = 0 into the first equation, then you would have
sin(45) + cos(45) = sin(0) + cos(0)
sqrt(2) = 1
which is a false equation. We don't have an identity here.
The same story happens with the second equation. Plug in theta = 0 and it becomes
cos(60) - sin(60) = cos^2(0) + tan(0)
1/2 - sqrt(3)/2 = 1 + 0
-0.37 = 1
which is false.
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Step-by-step explanation:
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