Math miscellaneousMedium

Question

Number of solution(s) of the equation = 8 in θ ∈[0, π] is

Options

A.4
B.6
C.8
D.10

Solution

= 8
⇒ = 8
⇒ = 1
⇒ = 1
⇒ = 1
⇒ tan 8θ = tanθ
8θ = nπ + θ
⇒ 6 solutions in [0, π] for n = 1,2,3,4,5 & 6

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