## lala2 2 years ago just a quick question!

1. lala2

in triangle ABC , angle B is a right angle. AB+30 and Sec A=5/3. find each value in fraction and decimal form

2. lala2

sin A

3. lala2

someone??

sin a =4/5

5. lala2

ok but how did you get that

|dw:1369794012893:dw| here sec a=hyppoteneus/adjacent so hp=5 and adj=3 so opposite side =4 by pythagorus thm so sin a=opposite/hypp=4/5

7. lala2

its sin A

8. lala2

isnt sin opposite/ hypotenuse

no sinA=opposite/hyp

10. chrisplusian

you said sec A=5/3 so the sec=hyp/adj. the hyp=5 and the side adjacent to angle A would be adjacent. Through pythagorean theorem you can find the other value because it is a right triangle

11. lala2

in the pathagorema theorem what values go with what is a=5 and c=3?

12. lala2

b=4

14. lala2

i know that but i need to show work so what goes where

15. lala2

does a=3 c=5?

(hypo)^2=(side 1)^2 +(side 2)^2

17. lala2

@chrisplusian can you help me with one more

18. lala2

csc C

19. lala2

sam thing but with these values

20. chrisplusian

The trick with pythagorean theorem is that the "c" is always the hypotenuse

21. lala2

ohh

22. chrisplusian

Csc=Hyp/opp so the opposite side from angle C is =3 and the hypotenuse is =5. so csc C =5/3

23. chrisplusian

Hope that helps @lala2

24. lala2

yes it does alot! thanks soo much!

25. chrisplusian

no problem I have to do some studying now so good luck

26. lala2

ok thanks again!