Question

if cosA = 3/5 and sinB = 5/13 , then evaluate
cos(A - B) =

Answer 1

Answer:

16/65

Step-by-step explanation:

CosA=3/5

Then, SinA= 4/5

And,sinB=5/13

Then, CosB=12/13

We know, Cos(A-B) = CosAcosB+sinAsinB

=(3/5)(12/13)+(4/5)(5/13)

=(36/65) + (4/13)

=56/65