## nellysmith 3 years ago csc(x) = 2 and that cos (x)<0, find the values of the other 5 trigonometric functions. sin(x)= cos(x)= tan(x)= sec(x)= cot(x)=

1. myininaya

|dw:1328634940137:dw|$\csc(x)=\frac{2}{1} (=\frac{hyp}{opp})$ Draw a right triangle and label the sides base on this equation. Keep in mind cos(x)<0 So we want (-,+)

2. myininaya

|dw:1328634977084:dw| by pythagorean thm

3. myininaya

so we have the adj side is -sqrt(3)

4. myininaya

$\tan(x)= \frac{1}{-\sqrt{3}} (=\frac{opp}{adj})$

5. myininaya

and so on...

6. FoolForMath

btw do we need coordinate axes ?

7. myininaya

one more example $\sec(x)=\frac{2}{-\sqrt{3}} (=\frac{hyp}{adj})$

8. myininaya

no i just like it ffm

9. FoolForMath

lol, fair enough.

10. myininaya

do you think you can recall the other ratios and use the triangle I drew nelly?

11. nellysmith

Yes myininaya, thank you so much for your help.

12. myininaya

Np. Let us know if you have any questions on how to use the site. Have a good day! :)

13. nellysmith

All right. You too.