2cos2 B-1= tan2A ; cosA Γ cosB=?
Write tan2A as sin2A/cos2A .......
So, 2cos2B-1=sin2A/cos2A
Hence, 2cos2B x cos2A-cos2A=sin2A............
so, 2cos2B x cos2A=sin2A+cos2A...........
2(cos2Bxcos2A)=1
so your answer is +/-(1/sqrt2)...........
2cos2B-1=sin2A/cos2A
2cos2Bcos2A-cos2A=sin2A
2cos2Bcos2A=sin2A+cos2A
2cos2Bcos2A=1 (where sin2A+cos2A=1)
cos2Acos2B=1/2.
thus, cosAxcosB=(+/-)root(1/2).
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