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zorro
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Homework Statement
I got this expression while solving a problem.
(y+1)/(y-1)=sin2x/sin2a
we need to find the range of y
Homework Equations
The Attempt at a Solution
here y=(sin2x+sin2a)/(sin2x-sin2a)
Numerator of RHS lies between sin2a-1 and 1+sin2a
Denominator lies between -1-sin2a and 1-sin2a
so RHS lies between (sin2a-1)/(-1-sin2a) and (1+sin2a)/(1-sin2a)
on solving I got y lies between tan^2 (45-a) and tan^2 (45+a)
but the answer is opposite (i.e. y does not lie between them).
Please help.