Question

a right angled triangle ABC, right angled at B ,
prove that sinA / cosA = tan A
and
cosA / sinA = cot A

Answer 1

use the definitions

Answer 2

tan A = (a/c) = (a/b) / (c/b)

Answer 3

LHS= sinA=BC/AC
cos A = AB/AC
sinA/cosA=(BC/A)/(AB/AC)=BC/AB

RHS= tanA=BC/AB

hence, LHS= RHS

Answer 4

hmm...yes i have done sme method as @susan3 wrote