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Prove that 3 tan-1 x + cot-1 x = Π |
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Answer» ong>Step-by-step EXPLANATION: We have, 3tan −1 X+cot −1 x=π ⇒2tan −1 x+(TAN −1 x+cot −1 x)=π ⇒2tan −1 x+ 2 π
=π, [∵tan −1 x+cot −1 x= 2 π
] is an IDENTITY ⇒2tan −1 x=π− 2 π
= 2 π
⇒tan −1 x= 4 π
∴x=tan 4 π
=1 |
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