Question

If A, B and C are the angle of a ∆ABC, prove that tan(C+A/2)= cotB/2

Answer 1

Step-by-step explanation:

A,B,C are the angle

A+B+C=180

A+C=180-B

A+C/2=180-B/2

A+C/2=90-B/2

tan(A+C/2)=tan(90-B/2)

tan(A+C/2)=cotB/2