Evaluate tan pi/4

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