Question and Answers Forum

All Questions      Topic List

Trigonometry Questions

Previous in All Question      Next in All Question      

Previous in Trigonometry      Next in Trigonometry      

Question Number 79320 by jagoll last updated on 24/Jan/20

$$\mathrm{what}\mathrm{the}\mathrm{minimum}$$$$\mathrm{value}\mathrm{of}\mathrm{y}=\sec \left(\mathrm{x}\right)+\mathrm{cosec}\left(\mathrm{x}\right)?$$

Commented by mr W last updated on 24/Jan/20

$$y=\frac{1}{\sin x}+\frac{1}{\cos x}$$$$ithasnomaximumandnominimum,$$$$sincee.g.when\sin x\Rightarrow 1wehave$$$$\cos x\to 0andy\to \pm \mathrm{\infty }.$$$$butyoucanfindlocalmaximumor$$$$localminimumbyusing{y}^{\prime }=0.$$

Commented by jagoll last updated on 25/Jan/20

$$\mathrm{how}\mathrm{to}\mathrm{distinguish}\mathrm{the}$$$$\mathrm{maximum}\mathrm{value}\mathrm{from}\mathrm{the}$$$$\mathrm{maximum}\mathrm{local}\mathrm{value}\mathrm{mister}?$$

Commented by mr W last updated on 25/Jan/20

https://www.mathsisfun.com/algebra/functions-maxima-minima.html

Terms of Service

Privacy Policy

Contact: info@tinkutara.com