## catgirl17 3 years ago pre-cal Find (a) sin a and cos B, (b) tan a and cot B, and (c) sec a and csc B.

1. catgirl17

|dw:1347217242148:dw|

2. dpaInc

since this is a right triangle, can you give me the length of the hypotenuse?

3. dpaInc

hello?

4. dpaInc

meow?

5. catgirl17

so would i do the pythag. theorm?

6. dpaInc

yes....

7. catgirl17

what do i do after that?

8. dpaInc

do you know the definition o the trig functions? or better yet, the acronym: SOHCAHTOA: Sine = Opposite/Hypotenuse Cosine = Adjacent/Hypotenuse Tangent = Opposite/Adjacent

9. catgirl17

yes

10. dpaInc

ok... so once you have the hypotenuse, you can determine the trig ratios for the angles that you want....

11. dpaInc

so... what do you have for the length of the hypotenuse?

12. catgirl17

$\sqrt{34}$

13. dpaInc

|dw:1347218499018:dw| now you can you determine the trig ratio's???

14. catgirl17

okay thanks

15. dpaInc

yw...:)

16. Chlorophyll

@catgirl17 Do you want to post your result, so we can double check?

17. catgirl17

okay

18. catgirl17

a) $3\sqrt{34}/34$ $5\sqrt{34}/34$

19. Chlorophyll

a) the result should be the same: 3/ √ 34 ( 3√ 34/ 34 )

20. catgirl17

why?

21. catgirl17

b) 3/5 , 5/3 c) $\sqrt{34}/5$ , $\sqrt{34}/3$

22. Chlorophyll

sinA = opp/ hyp = 3/√ 34 cosB = adj/ hyp = 3/√ 34

23. Chlorophyll

When you can fix your a) then go ahead fix b) and c)

24. catgirl17

b) 3/3, 3/3 c) $\sqrt{34}/3$ $\sqrt{34}/3$

25. Chlorophyll

b) tanA = opp/ adj = 3/5

26. catgirl17

okay

27. Chlorophyll

C) secA = hyp/ adj = √ 34/5

28. catgirl17

okay

29. Chlorophyll

@catgirl17 That's the reason you need to volunteer post your working solution, so we can help you through the correct final result!