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Mathematics 13 Online
OpenStudy (anonymous):

Fan + Medal ...............

OpenStudy (anonymous):

Solve for OP :- \[\huge \sin \frac{\alpha}{2}=\frac{r}{OP}\]

OpenStudy (kainui):

Looks like you multiply both sides by OP and divide both sides by sin (a/2)

OpenStudy (anonymous):

\[\huge OP \times \sin \frac{\alpha}{2}=r\] then

OpenStudy (anonymous):

@Kainui

OpenStudy (skullpatrol):

divide both sides by sin (a/2)

OpenStudy (anonymous):

\[\huge OP=\frac{r}{\sin \frac{\alpha}{2}}\]

OpenStudy (anonymous):

then

OpenStudy (kainui):

You just solved for OP, what more could a girl ask for?

OpenStudy (anonymous):

but this is not the answer

OpenStudy (skullpatrol):

Remember you can not divide by 0, so put in the restriction sin(a/2) =/= 0.

OpenStudy (anonymous):

i don't understand

OpenStudy (skullpatrol):

Do you know that division by 0 is undefined?

OpenStudy (anonymous):

yeah

OpenStudy (skullpatrol):

So, since sin(a/2) is in the denominator of the fraction you cannot have it equal to 0, right?

OpenStudy (usukidoll):

OP needs to be by itself on one side.

OpenStudy (anonymous):

right. @skullpatrol

OpenStudy (usukidoll):

actually these types of problems don't require a number as an answer. It's just manipulating and shifting terms.

OpenStudy (kainui):

What is the answer if that's not right?

OpenStudy (usukidoll):

there's a ton of it in Algebra II and some in Calc 2

OpenStudy (anonymous):

oh!! @UsukiDoll so what is the answer??

OpenStudy (usukidoll):

in this type of problem...?. you need OP to be by itself on the left side.

OpenStudy (kainui):

@needforspeed You HAVE the answer. You want to solve for OP, you have a thing there that says EXACTLY what OP is equal to. You can't solve any more than that unless you want to plug something in.

OpenStudy (usukidoll):

it's like...I'll give an example from my algebra ii book one sec...

OpenStudy (anonymous):

@Kainui but your answer doesn't matches with the original answer

OpenStudy (skullpatrol):

What is the "original" answer? @needforspeed

OpenStudy (kainui):

Yeah exactly what I asked earlier lol.

OpenStudy (usukidoll):

aha! It's one of those solve each formula for the indicated variable probs.

OpenStudy (anonymous):

Original answer :- \[\huge OP=r cosec \frac{\alpha}{2}\]

OpenStudy (anonymous):

its the SAME THING

OpenStudy (anonymous):

How?? @YunoAkoRiko

OpenStudy (skullpatrol):

1/sin(a/2) = cosec(a/2)

OpenStudy (usukidoll):

I'll draw an example of an easy one. |dw:1375345758528:dw| |dw:1375345810793:dw|

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