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Real analysis

29.12 (a) Show that x < tan x for all x in (0, &#960;/2).

(b) Show that x/ sin x is strictly increasing function on (0, &#960;/2).

(c) Show that x &#8804; (&#960;/2)&#1468;sin x for all x in [0, &#960;/2].

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Solution Summary

There are three proofs here involving trigonometric functions.

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