Evaluate the value of tan ∏/4
Solution
We know that ∏ = 180
and ∏/4= 45
tan ∏/4 = tan 45
We have learnt that
Tan α = sin α/cos α
So, tan 45 degrees can be represented as
Tan 45°=sin 45°/cos 45°
We know that
Sin 45° = 1/√2 & Cos 45° = 1/√2 ∴
Tan 45° = (1/√2) /(1/√2)
Tan 45° = 1
Answer
tan ∏/4 = 1