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Step-by-step explanation:
sorry I don't know how to do this
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Answer:
PROVED BELOW..
Step-by-step explanation:
L.H.S.
Let (1/2)cos^-1(a/b) = A
=tan(pi/4+A)+tan(pi/4-A)
=sin(pi/4+A)/cos(pi/4+A)+sin(pi/4-A)/cos(pi/4-A).
=[sin(pi/4+A).cos(pi/4-A)+sin(pi/4-A).cos(pi/4+A)]/cos(pi/4+A).cos(pi/4-A)
=2[sin(pi/4+A+p/4-A)]/2.cos(pi/4+A).cos(pi/4-A)
=2.[sin pi/2]/[cos(pi/4+A+pi/4-A)+cos(pi/4+A-pi/4+A)].
=2(1)/[cospi/2+cos2A].
=2./[0+cos2A].
=2./cos2A
On putting A =(1/2)cos^-1(a/b)
=2./cos 2×(1/2) cos^-1(a/b).
=2./(a/b)
=2.b/a
HENCE PROVED
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