If α = 14 π , then the value of ( tan α tan 2 α + tan 2 α tan 4 α + tan 4 α tan α ) is

Question

If α = 14 π ​ , then the value of ( tan α tan 2 α + tan 2 α tan 4 α + tan 4 α tan α ) is

TestHub · Accepted Answer

α + 2 α + 4 α = 7 α = 2 π ​ ​ tan 2 π ​ = tan ( α + 2 α + 4 α ) ​ ​ ​ = 1 − tan α ⋅ tan 2 α − tan α ⋅ tan 4 α − tan 2 α ⋅ tan 4 α tan α + tan 2 α + tan 4 α − tan α ⋅ tan 2 α ⋅ tan 4 α ​ tan α ⋅ tan 2 α + tan 2 α ⋅ tan 4 α + tan α ⋅ tan 4 α = 1

Mathematics - Trigonometric Ratios & Identities Question with Solution | TestHub

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