Question

tan( 2tan-¹(1/5)+pie/4)​

Answer 1

Answer:

Step-by-step explanation:

tan{2tan−115−π4}=tan{tan−1(2×151−125)−π4}  [As 2tan−1x=tan−1(2x1−x2)]=tan{tan−1(252425)−tan−1(1)} [As tan−1(1)=π4]=tan{tan−1(512)−tan−1(1)} [As tan−1(1)=π4]=tan{tan−1(512−11+512×1)}  [As tan−1a−tan−1b=tan−1(a−b1+ab)]=tan{tan−1(−7121712)}=tan{tan−1(−712)}=−712 (Answer)

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