If sin(A)= (3/5) and cos(A)= (4/5), what is tan(a)

Question

what is Tan(a)

Answer 1

Tan(A) = Sin(A)/Cos(A)

 

Tan(A) = (3/5)/(4/5) = (3/5)*(5/4) = 3/4

Answer 2

You can look at this as:

 

Sin(A)=3/5=opp/hyp

Cos(A)=4/5=adj/hyp

 

Based on this we know if hypotenuse=5, then opp=3 and adj=4

Tan(A)=opp/adj=3/4