Question

If cot A= 6/5
and tan B = 1/11
prove that A + B = 45°.​

Answer 1

Step-by-step explanation:

cotA=6/5 implies tanA=5/6

and tanB=1/11 (given)

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

=5/6+1/11 / 1-(5/6).(1/11)

=61/66 / 61/66

=1

So, tan(A+B)=1

tan(A+B)=tan45°

So, A+B=45°