Question
If tan 3.5θ x tan 6.5θ = 1 then the value of
tan 5θ isSolution
We know that ,If tanA ` ` tanB = 1 then A & B are complementary angles it means
A + B = 90Λ
As it is given by tan 3.5θ . tan 6.5θ = 1
so 3.5θ+6.5θ = 90Λ
or 10θ = 90Λ
So θ = 9Λ
Hence tan 5θ = tan (5 x 9Λ) = tan 45Λ = 1
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