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Murrr4er [49]
3 years ago
11

TanA+tanB+tanAtanB=1 If A+B=45 degree​

Mathematics
1 answer:
djyliett [7]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

\tan A+\tan B + \tan A.\tan B = 1\\\\ \implies \: \tan A +  \tan B =  1 -  \tan A.\tan B  \\  \\ \implies \:  \frac{\tan A +  \tan B}{ 1 -  \tan A.\tan B } = 1\\  \\ \implies \:  \tan (A +  B) = 1 \\  \\ \implies \:  \tan (A +  B) =\tan 45 \degree \\  \\ \implies \:  A +  B = 45 \degree \\  \\  thus \: proved

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