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Mathematics 9 Online
OpenStudy (anonymous):

Need help with trig

OpenStudy (anonymous):

Find the exact value of sin-1(-1) Find the exact value of tan-1 ((√3)/3) The first negative is supposed to be like the inverse. I just need to learn how to do these kinds of problems

OpenStudy (anonymous):

@amistre64 Could you help me out?

TheSmartOne (thesmartone):

So \(\sf\Large sin(x) = y\) then \(\sf\Large sin^{-1}(y)=x\) Same goes for the tangent.

OpenStudy (anonymous):

I understand that concept but I'm not sure what to do now. Divide by sin? or you just have to find what times sine makes sine equals -1?

OpenStudy (dtan5457):

When it's to the ^-1, I'm pretty sure you find what angle makes sin=-1. Same with your 2nd question.

OpenStudy (dtan5457):

SO instead of radians you have the actual degree

OpenStudy (anonymous):

-90?

OpenStudy (dtan5457):

sin=the y coordinate -1 would be a quadrantal angle |dw:1428869625565:dw|

OpenStudy (dtan5457):

shouldn't be a negative degree, and it's not 90

TheSmartOne (thesmartone):

|dw:1428869482213:dw|

OpenStudy (anonymous):

-90?

OpenStudy (dtan5457):

i said it's not, look at where on the graph y=-1

OpenStudy (anonymous):

270?

TheSmartOne (thesmartone):

@dtan5457 -90 degrees = 270 degrees :P

OpenStudy (dtan5457):

i like 270 better

TheSmartOne (thesmartone):

Soo the second question :P

OpenStudy (dtan5457):

but yeah, both work @brucewayne23

OpenStudy (anonymous):

Thanks guys. I'm sorry for the confusion. lemme do the 2nd one and see what i get. I'll be back in like 5 min

TheSmartOne (thesmartone):

|dw:1428869885719:dw|

OpenStudy (anonymous):

ok this one is hard. how do you do it for tangent? i know it has to be 1st or 3rd quadrant but idk what else

OpenStudy (dtan5457):

it's not hard if you know the 30-60-90 triangle

TheSmartOne (thesmartone):

correct, so I drew a triangle in the 1st quadrant, let's label an angle as 'x' |dw:1428870025228:dw|

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