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Mathematics 7 Online
OpenStudy (anonymous):

In the triangle below, the ratio that represents csc θ is 4/5 True False

Nnesha (nnesha):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

|dw:1433387988660:dw|

jimthompson5910 (jim_thompson5910):

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

jimthompson5910 (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|

OpenStudy (anonymous):

71.62

OpenStudy (anonymous):

oh wait its 4/5 so its true

jimthompson5910 (jim_thompson5910):

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

jimthompson5910 (jim_thompson5910):

but you need csc(theta)

OpenStudy (anonymous):

i got 71.62

jimthompson5910 (jim_thompson5910):

idk how you got that

OpenStudy (anonymous):

idk whats the formula from there

jimthompson5910 (jim_thompson5910):

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

OpenStudy (anonymous):

so 5/4 is the answer

jimthompson5910 (jim_thompson5910):

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

OpenStudy (anonymous):

ohh ok thank youu!

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