Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (anonymous):

Prove that cos(sin^(-1)(x))=sqrt(1-x^2) for -1=

OpenStudy (anonymous):

I think I got something.... If I take the derivative....it becomes -sin(arcsin(x))(1-x^2)^-1/2=(-2x)(1-x^2)^-1/2

OpenStudy (anonymous):

then -sin(arcsin(x)) cancels out to just be -x

OpenStudy (anonymous):

ooooooh I left out a 1/2 on the right side of the = sign!!! That's where I messed up!!

OpenStudy (anonymous):

I got it! Then the 1 over sqrt of (1-x^2) can cancel out and you're left with -x=-x which proves the theory

OpenStudy (anonymous):

Thanks guys! :)

OpenStudy (anonymous):

?

OpenStudy (anonymous):

no one did anyhting

OpenStudy (anonymous):

lol I could feel the support though! I could feel the love! xD

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!