Question

find the value of tan π/8​

Answer 1

here is your answer bro.......

Answer 2

Answer:

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Let Ф = π/8

==> 2Ф = π/4

==> tan 2Ф = 1 = 2 tan Ф / [ 1 - tan² Ф ]

==> 1 - tan² Ф = 2 tan Ф

==> tan² Ф + 2 tan Ф - 1 = 0

==> tan Ф = 1/2 [ -2 +- √(4 +4) ] = -1 +- √2

==> tan π/8 is > 0

Therefore, tan π/8 = √2 - 1