Question

if a + b + C is equal to 180 degrees then tan A + tan b + tan c equal to​

Answer 1

Answer:

A+B+C=180°

A+B=180°-C

apply tan on both sides

tan(A+B)=tan(180°-C)

tanA+tanB/1-tanA.tanB= -tanC

tanA+tanB= -tanC(1-tanA.tanB)

tanA+tanB= -tanC+tanA.tanB.tanC

tanA+tanB+tanC=tanA.tanB.tanC