Question

In ∆ABC is a right angled at A, find the value of tan B .tan C

Answer 1

Answer:

tan B.tan C = 1

Step-by-step explanation:

tan theta = opposite side / adjacent side

tan B = AC/AB

tan C = AB/AC

tan B.tan C = 1

Answer 2

Answer:

1

Step-by-step explanation:

A= 90 degree ' B+C= 90 degree

tan(B+C) = (tanA+tanB)/(1-tanAtanB)

∞ = (tanA+tanB)/ (1-tanAtanB)

tanAtanB -1=0

tanAtanB =1