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Question Number 63747 by Tony Lin last updated on 08/Jul/19
What does sin^(−2) x mean?
Whatdoessin2xmean?
Commented by MJS last updated on 08/Jul/19
that′s the question...  we′re not consequent in these things  f^(−1) (x) means the inverse function of f(x)  some people use  f^1 (x)=f′(x)  f^2 (x)=f′′(x)  ...  for trigonometric functions usually  sin^(−1)  x =arcsin x  cos^(−1)  x =arccos x  ...  but  sin^2  x =(sin x)^2   ...  so  sin^(−2)  x could mean different things  (1/(sin^2  x))  arcsin^2  x  (1/((sin x)′′))  it′s a shame
thatsthequestionwerenotconsequentinthesethingsf1(x)meanstheinversefunctionoff(x)somepeopleusef1(x)=f(x)f2(x)=f(x)fortrigonometricfunctionsusuallysin1x=arcsinxcos1x=arccosxbutsin2x=(sinx)2sosin2xcouldmeandifferentthings1sin2xarcsin2x1(sinx)itsashame

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