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Mathematics 48 Online
OpenStudy (anonymous):

Given sin x=-4/5 and x is in the third quadrant, what is the value of tan(x/2)

OpenStudy (xapproachesinfinity):

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OpenStudy (anonymous):

Do I use the pythagorean theorem to solve it?

OpenStudy (xapproachesinfinity):

Correct!

OpenStudy (xapproachesinfinity):

first find the missing adjacent part using pyth thm

OpenStudy (anonymous):

Ok, thanks for the help.

OpenStudy (anonymous):

So, I got 6.40? is that correct?

OpenStudy (xapproachesinfinity):

Or you can just find the angle using inverse of sin sinx=-4/5 ===> x=sin^-1(-4/5) find the x and divide it by 2 then do tan(x/2)

OpenStudy (xapproachesinfinity):

I'm not sure, i didn't do calculation im just telling how to do this

OpenStudy (anonymous):

Ok, thanks for leading me to the answer.

OpenStudy (xapproachesinfinity):

yw!

OpenStudy (anonymous):

I got 0.23 as a final answer, is that correct?

OpenStudy (xapproachesinfinity):

i got -1/2 did you do it by degrees or radians?

OpenStudy (anonymous):

Degree

OpenStudy (xapproachesinfinity):

You should get what i got? what did you do?

OpenStudy (xapproachesinfinity):

-0.499 round it to -0.5

OpenStudy (xapproachesinfinity):

i got it like that!

OpenStudy (anonymous):

I took the inverse of sin (4/5) then I divided that by two, then I plugged that into tan(x/2)

OpenStudy (anonymous):

It said the correct answer was -2, but thanks for the help.

OpenStudy (xapproachesinfinity):

not 4/5! -4/5

OpenStudy (anonymous):

Oh... that's why I didn't get it

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