Question

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.

Answer 1

what the monkey is the "racetrack principle"?

Answer 2

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

Answer 3

ok I get that... is that still correct after looking at this pic