Question

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

A √3 Correct Answer Incorrect Answer
B 1 Correct Answer Incorrect Answer
C Correct Answer Incorrect Answer
D 1/√3 Correct Answer Incorrect Answer

Solution

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

Practice Next

Relevant for Exams:

×
×