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Question Number 73608 by mathocean1 last updated on 13/Nov/19

$$\mathrm{determiner}$$$$\mathrm{la}\mathrm{valeur}\mathrm{exacte}\mathrm{de}\sin \left(\frac{85\mathrm{\Pi }}{4}\right)$$$$$$

Commented by mathmax by abdo last updated on 13/Nov/19

$$sin\left(\frac{85\pi }{4}\right)=sin(20\pi +\frac{5\pi }{4})=sin\left(\frac{5\pi }{4}\right)=sin(\pi +\frac{\pi }{4})\left(20\pi isperiod\right)$$$$=-sin\left(\frac{\pi }{4}\right)=-\frac{\sqrt{2}}{2}$$

Commented by kaivan.ahmadi last updated on 13/Nov/19

$$sin(21\pi +\frac{\pi }{4})=sin(\pi +\frac{\pi }{4})=-sin\left(\frac{\pi }{4}\right)=-\frac{\sqrt{2}}{2}$$

Commented by mathocean1 last updated on 14/Nov/19

$$\mathrm{thank}\mathrm{you}\mathrm{sir}$$

Commented by mathocean1 last updated on 14/Nov/19

$$\mathrm{thank}\mathrm{you}\mathrm{sir}$$

Commented by mathmax by abdo last updated on 14/Nov/19

$$youarewelcome.$$

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