Question

(1+tanx)(1+tan4x)=2 where x€(0,π/16) then X is?​

Answer 1

Answer:

4x +x =45°

5x=45

x=9 answer

Answer 2

Answer:

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Step-by-step explanation:

(1+tanα)(1+tan4α)=2

⇒1+tanα.tan4α+tanα+tan4α=2

⇒tanα+tan4α=1−tanα.tan4α

⇒

1−tanα.tan4α

tanα+tan4α

=1

⇒tan5α=1⇒5α=

4

π

⇒α=

20

π