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Step-by-step explanation:
m^2=cos^2x/cos^2y
n^2= cos^2x/sin^2y
(m^2+n^2)cos^2y
=(cos^2x/cos^2y+cos^2x/sin^2y)cos^2y
=(cos^2xsin^2y+cos^2xcos^2y)/cos^2ysin^y ×cos^y
=cos^2x(1)/sin^2y
=n^2
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taking a=alpha and b=beta
m^2=cos^2a/cos^2b
n^2=cos^2a/sin^2b
add both
m^2+n^2=(2cos^4a)/sin^2acos^2b...I)
also,
also
cos^b=cos^2a/m^2....ii)
multiply both eqaution
we get
cos^a/cos^b
which is equal to n^2
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