Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 103921 by Rio Michael last updated on 18/Jul/20

$$\mathrm{Prove}\mathrm{that}\mathrm{\forall }x\in \overline{\mathbb{R}},\mid \cos x\mid ⩽1-{\sin }^{2}x$$

Answered by Worm_Tail last updated on 18/Jul/20

$$cosx=\sqrt{1-{sin}^{2}x}$$$$\mid cosx\mid =\sqrt{1-{sin}^{2}x}⩽1-{sin}^{2}x$$$$\mid cosx⩽1-{sin}^{2}x$$

Commented by Rio Michael last updated on 18/Jul/20

$$\mathrm{perfect}\mathrm{sir}\mathrm{thanks}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com