Question

if tan A=1/2and tan B = 1/3, then find the value of (A+B)​

Answer 1

Step-by-step explanation:

Given tanA=

2

1

,tanB=

3

1

tan(A+B)=

1−tanAtanB

tanA+tanB

=

1−

2

1

×

3

1

2

1

+

3

1

=

6

6−1

6

3+2

=

6

5

6

5

=1

Answer 2

Answer:

Given, tan A = 1/ 2

tan B = 1/ 3

We know, tan ( A + B ) = tan A + tan B / 1- tanA + tanB

= 1/ 2 + 1/ 3

1 - 1/2 + 1/ 3

= 1

tan ( A + B ) = 1

$a \: + \: b \: = \: tan { }^{ - 1}(1)$

$a \: + \: b \: = \pi \div4$