Question

if A,B,C are in A.P and B=π/4,then tanAtanBtanC=

Answer 1

Answer:

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Explanation:

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Answer 2

Terms in A.P have same common difference.

Let x, y, z are in A.P ,then 2y= x+z

Given,

A,B,C are in A.P

⇒ 2B = A+C                                 (B =π/4 = 45 degree)

    2(45) = A+C

    A+C=90

    A = (90-C)

     tanA= tan(90-C)

that is tanA.tanC =1

Therefore :

tanAtanBtanC = 1.tan(45)

                          = 1