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## anonymous one year ago In the triangle below, the ratio that represents csc θ is 4/5 True False

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1. anonymous
2. Nnesha

$\huge\rm csc \theta =\frac{ 1 }{ \sin \theta }$ and sin theta $\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }$

3. anonymous

how do i find the opposite and the hypotenuse? @Nnesha

4. anonymous

@jim_thompson5910

5. jim_thompson5910

|dw:1433387988660:dw|

6. jim_thompson5910

the hypotenuse is ALWAYS the longest side it is always opposite the 90 degree angle |dw:1433388057774:dw|

7. jim_thompson5910

with relation to angle theta (symbol $$\large \theta$$), the 12 is the opposite side because it is the furthest from angle theta that you can get the 9 is the adjacent side because it is touching the angle theta |dw:1433388118783:dw|

8. anonymous

71.62

9. anonymous

oh wait its 4/5 so its true

10. jim_thompson5910

well as Nnesha pointed out, sine = opposite/hypotenuse so you just found out that sin(theta) = 4/5

11. jim_thompson5910

but you need csc(theta)

12. anonymous

i got 71.62

13. jim_thompson5910

idk how you got that

14. anonymous

idk whats the formula from there

15. jim_thompson5910

sin(theta) = 4/5 1/sin(theta) = 5/4 ... take the reciprocal of both sides csc(theta) = 5/4

16. anonymous

so 5/4 is the answer

17. jim_thompson5910

yes and not 4/5 like it states up at the very top

18. anonymous

ohh ok thank youu!

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