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Can you di...
3 years ago
ยท
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ยท
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Genevieve Lebsack
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1 Answer
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Yes -this is the method used.
If y=arcsin x then x=siny
Differentiating both sides with respect to x gives
1=cos y (dy/dx).
Rearranging gives dy/dx = 1/cos y.
However cos y = sqrt (1 - sin2y) = sqrt (1- x2) and hence
dy/dx=1/sqrt (1-x2)
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