I've been trying to solve this equation for

Frances Simon

Frances Simon

Answered question

2022-04-08

I've been trying to solve this equation for some time now, but have not been able to do it. I know I've been able to solve it before, but I can't remember how.
This is how far I get, but I don't know how to proceed from here. Thank you for your time.
arcsin(x)=arctan(2x)
x=sin(arctan(2x))
v=arctan(2x)
x=sin(v)

Answer & Explanation

superpms01wks1

superpms01wks1

Beginner2022-04-09Added 13 answers

HINT
Since sin(arcsin(x))=x we conclude that
tan(arcsin(x))=sin(arcsin(x))cos(arcsin(x))=sin(arcsin(x))1sin2(arcsin(x))=x1x2
arcsin(x)=arctan(2x)tan(arcsin(x))=tan(arctan(2x))x1x2=2x

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