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.

Question

Mathematics

Jon Dennis

25 October, 15:37

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.

+3

Answers (1)

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Aussie · Answer 1

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

Use the Racetrack Principle and the fact that sin 0 = 0to show that sin x (less than or equal to) x for all x (greater than or equal to) 0.

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.