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Mathematics 7 Online
OpenStudy (anonymous):

hello i need help on solving this equation

OpenStudy (anonymous):

\[\arcsin(x^2 -1)=x/3 \]

OpenStudy (anonymous):

how to start that?

OpenStudy (gorv):

hmmmmm

OpenStudy (gorv):

sin inverse take value between -1 and 1

OpenStudy (gorv):

-1<=x^2-1<=1

OpenStudy (gorv):

can u solve it

OpenStudy (anonymous):

i don't understand...i need some time to process what you wrote

OpenStudy (gorv):

x^2-1>=-1 means x^2>=0.......x is real number can be any thing and x^2-1<=1 means \[x^2 >=2\]

OpenStudy (gorv):

\[-\sqrt{2}<=x<=\sqrt{2}\]

OpenStudy (gorv):

arcsin what value it can take ????

OpenStudy (gorv):

arcsin(y) what could be the possible values of y???

OpenStudy (anonymous):

-pi/2 and pi/2

OpenStudy (gorv):

no that is what we will get from arc sin

OpenStudy (gorv):

sin can take -pi/2 to pi/2

OpenStudy (gorv):

we can insert min -1 and max 1

OpenStudy (gorv):

-1<= y <=1

OpenStudy (gorv):

got something???

OpenStudy (anonymous):

why you got an interval as solution? the solution must be just one value

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