Resposta :

dfremy
Primeiro as coisas básicas:

[tex]sec(x)=\frac{1}{cos(x)}[/tex]
[tex]cossec(x)=\frac{1}{sen(x)}[/tex]
[tex]cotg(x)=\frac{1}{tg(x)}=\frac{cos(x)}{sen(x)}[/tex]


[tex]cossec(30)=\frac{1}{sen(30)}=\frac{1}{\frac{1}{2}}=2[/tex]

[tex]cossec(120)=\frac{1}{sen(120)}=\frac{1}{sen(60)}=\frac{1}{\frac{\sqrt(3)}{2}} [/tex]
[tex]=\frac{2}{\sqrt(3)}=\frac{2\sqrt(3)}{3}[/tex]

[tex]cossec(270)=\frac{1}{sen(270)}=\frac{1}{- sen(90)}=\frac{1}{-1}=-1[/tex]

[tex]cossec(135)=\frac{1}{sen(135)}=\frac{1}{sen(45)}=\frac{1}{\frac{\sqrt(2)}{2}} [/tex]
[tex]=\frac{2}{\sqrt(2)}=\sqrt(2)[/tex]

[tex]cossec(225)=\frac{1}{sen(225)}=\frac{1}{-sen(45)}=\frac{1}{-\frac{\sqrt(2)}{2}} [/tex]
[tex]=-\frac{2}{\sqrt(2)}=-\sqrt(2)[/tex]

[tex]cossec(300)=\frac{1}{sen(300)}=\frac{1}{-sen(60)}=\frac{1}{-\frac{\sqrt(3)}{2}} [/tex]
[tex]=-\frac{2}{\sqrt(3)}=-\frac{2\sqrt(3)}{3}[/tex]


[tex]cotg(\frac{\pi}{3})=\frac{cos(\frac{\pi}{3})}{sen(\frac{\pi}{3})}=\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}[/tex]
[tex]=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

[tex]sec(\frac{\pi}{3})=\frac{1}{cos(\frac{\pi}{3})}=\frac{1}{\frac{1}{2}}=2[/tex]

[tex]cossec(\frac{\pi}{3})=\frac{1}{sen(\frac{\pi}{3})}=\frac{1}{\frac{\sqrt{3}}{2}}[/tex]
[tex]=\frac{2}{\sqrt{3}}=\frac{2\sqrt{3}}{3}[/tex]

[tex]sec(\frac{9\pi}{4})=\frac{1}{cos(\frac{9\pi}{4})}=\frac{1}{cos(\frac{\pi}{4})}[/tex]
[tex]=\frac{1}{\frac{\sqrt{2}}{2}}=\frac{2}{\sqrt{2}}=\sqrt{2}[/tex]


[tex]cotg(-1755)=\frac{cos(-1755)}{sen(-1755)}=\frac{cos(45)}{sen(45)}[/tex]
[tex]=\frac{\frac{\sqrt{2}{2}}{\sqrt{2}{2}}=1[/tex]


[tex]sec(1050)=\frac{1}{cos(1050)}=\frac{1}{cos(30)}=\frac{1}{\frac{\sqrt{3}}{2}}[/tex]
[tex]=\frac{2}{\sqrt{3}}=\frac{2\sqrt{3}}{3}[/tex]

[tex]cotg(-1410)=\frac{cos(-1410)}{sen(-1410)}=\frac{cos(30)}{sen(30)}[/tex]
[tex]=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}=\sqrt{3}[/tex]

Logo cotg(-1410) é maior.


[tex]x=180[/tex]

[tex]y=\frac{5cosec(\frac{x}{2})-2sen(x)}{5sen(\frac{x}{2})}[/tex]
[tex]y=\frac{5cosec(\frac{180}{2})-2sen(180)}{5sen(\frac{180}{2})}[/tex]
[tex]y=\frac{5cosec(90)-2sen(180)}{5sen(90)}[/tex]
[tex]y=\frac{5cosec(90)-0}{5}[/tex]

FALTA ACABAR AQUI, MAS TENHO QUE SAIR, AJEITO ISSO ASSIM QUE VOLTAR.
POR FAVOR NÃO DELETEM.

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