Question

if A and B are acute angles and tan A=2/5 and Tan B= 3/7 then what is the value of A+B??​

Answer 1

Answer:

tan (A+B)=(tanA+tanB)/(1-tanA.tanB)

=(2/5+3/7)/(1-2/5.3/7)

=(2×7+3×5)/5×7)/(1-6/35)

=(14+15)/35/(35-6)/35

=29/35/29/35

=1

tan(A+B)=1=tan45 °

=> A+B=45°

Answer 2

Answer:

45 degree

Step-by-step explanation:

tan a = 1/2 tan b = 1/√3

tan [A+B] = 1/2 + 1/3/1 - 1/1/2, 1/3 = 5/6 = 1

tan [A+B] = tan 45 degree

therefore A - B = 45 degree

It's not clearly the solution of your problem, but still a little related to it.

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