Let tan(x)=2/5 What is the value of tan(π−x) ?

Mathematics · High School · Mon Jan 18 2021

Answered on

Formula : 

tan(a - b) =  (tan a - tan b)/(1 + tan a·tan b)

tan(π−x) = tanπ - tanx/1 + tanπ.tanx

= (0 - 2/5)/(1 + 0.2/5)

= -2/5

 

Hence, the value of tan(π−x)  is -2/5