If tan 3.5θ x tan 6.5θ = 1 then the value of tan 5θ is

We know that ,If tanA ` ` tanB = 1 then A & B are complementary angles it means

A + B = 90˚

As it is given by tan 3.5θ . tan 6.5θ = 1

so 3.5θ+6.5θ = 90˚

or 10θ = 90˚

So θ = 9˚

Hence tan 5θ = tan (5 x 9˚) = tan 45˚ = 1

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