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"If" (tan (A-B)/tanA)+(sin^(2)C)/(sin^(2...

`"If" (tan (A-B)/tanA)+(sin^(2)C)/(sin^(2)A) =1, "show that", tanA tanB = tan^(2) C.`

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The correct Answer is:
`:. tan^(2)C = sin^(2)C/cos^(2)C = (sin A sinB)/cos (A -B) xx (cos(A -B))/(cosA cosB)=tanA tanB`
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