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Mathematics 20 Online
OpenStudy (anonymous):

help plz

OpenStudy (anonymous):

Explain the difference between using the sine ratio to solve for a missing angle in a right triangle versus using the cosecant ratio. You must use complete sentences and any evidence needed (such as an example) to prove your point of view.

OpenStudy (anonymous):

@surjithayer can you help me plz

OpenStudy (anonymous):

@misty1212

OpenStudy (anonymous):

Explain the difference between using the sine ratio to solve for a missing angle in a right triangle versus using the cosecant ratio. You must use complete sentences and any evidence needed (such as an example) to prove your point of view.

OpenStudy (misty1212):

HI!!

OpenStudy (misty1212):

one is the reciprocal of the other

OpenStudy (anonymous):

hi can you help me plz

OpenStudy (misty1212):

but if you are looking for an angle, you really have to use sine lets give an example

OpenStudy (misty1212):

|dw:1439518386921:dw| suppose we are looking for angle \(x\)

OpenStudy (anonymous):

it asking the dfference

OpenStudy (anonymous):

ok

OpenStudy (misty1212):

then you have \[\sin(x)=\frac{5}{7}\] and you also have \[\csc(x)=\frac{7}{5}\]

OpenStudy (misty1212):

but you want the angle, so you have to use the inverse trig function to find it

OpenStudy (anonymous):

yess

OpenStudy (misty1212):

\[\sin(x)=\frac{5}{7}\\ \sin^{-1}(\frac{5}{7})=x\] you would use a calculator to get than number

OpenStudy (misty1212):

but no calculator has an inverse cosecant on it,so you would not be able to find \[\csc^{-1}(\frac{7}{5})\] so get \(x\)

OpenStudy (misty1212):

you would have to use the inverse sine (sometimes called the "arcsine") that is the only way you could do it

OpenStudy (anonymous):

okay so the difference is that sine you can use inverse and cse u can't

OpenStudy (misty1212):

yes

OpenStudy (anonymous):

thanks

OpenStudy (misty1212):

\[\color\magenta\heartsuit\]

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