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MathGroup Archive 1998

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RE: How do u go about doing this---?



L,

f[x_,y_] := (Sin[x] + Cos[y])/(Sin[x] - Cos[y])

Simplify[D[f[x,y],x]^2 + D[f[x,y],y]^2]

Gives you the answer you desire.

RF

-----Original Message-----
From:	McAllister [SMTP:lmcallister@email.msn.com] To:
mathgroup@smc.vnet.net
Sent:	Tuesday, February 10, 1998 8:02 PM To:	mathgroup@smc.vnet.net
Subject:	[mg10844] How do u go about doing this---?


Let f(x) = sin(x)+cos(y)
                -----------------
                sin(x) - cos(y)

Show that
                (df/dx)^2 + (df/dy)^2    =

                2+cos(2(x-y))+cos(2(x+y))
                -----------------------------------
                            (sin(x)-cos(y))^4


Thanks,

L.





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