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J4enisamiabeshonda J4enisamiabeshonda
  • 26-11-2016
  • Mathematics
Answered

Use the Racetrack Principle and the fact that sin 0 = 0

to show that sin x(less than or equal to) x for all x (greater than or equal to) 0.

Verified Answer :

syed514
syed514 syed514
  • 02-12-2016

oh maybe that since the derivative of sine is cosine and cosine is bounded above by 1, then
sin⁡(x)−sin⁡(0) /x−0≤1
\frac{\sin(x)-\sin(0)}{x-0}\leq 1
so
sin⁡(x)≤x

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