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Question Number 108628 by I want to learn more last updated on 18/Aug/20

$$\mathrm{Prove}\mathrm{that}\mathrm{the}\mathrm{inequality}\mid \cos \mathrm{x}\mid ⩾1-{\sin }^2\mathrm{x}\mathrm{hold}\mathrm{true}\mathrm{for}\mathrm{all}\mathrm{x}\in \mathbb{R}$$

Commented by mr W last updated on 18/Aug/20

$$\mid \cos x\mid ⩽1$$$$\Rightarrow \mid \cos x\mid ⩾{\cos }^{2}x=1-{\sin }^{2}x$$

Commented by I want to learn more last updated on 18/Aug/20

$$\mathrm{Thanks}\mathrm{sir},\mathrm{i}\mathrm{appreciate}.$$

Commented by I want to learn more last updated on 18/Aug/20

$$\mathrm{please}\mathrm{sir}\mathrm{help}\mathrm{with}\mathrm{Q}108626$$

Commented by Aziztisffola last updated on 18/Aug/20

$$\mathrm{look}\mathrm{at}\mathrm{the}\mathrm{answer}\mathrm{to}\mathrm{get}\mathrm{an}\mathrm{idea}.$$

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