Question

find the value of tanπ\8

Answer 1

Answer:

Step-by-step explanation:

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 So,  tan π/8 = √2 - 1

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