Question

Find the value of tan 22°30’.

[Hint: Let θ = 45°, use 

Answer 1

Let, θ = 45°

As we need to find: tan 22°30’ = tan (θ/2)

We know that,

sin θ = cos θ = 1/√2 (for θ = 45°)

Since,

Therefore, tan 22°30’ = √2 – 1