Math, asked by raqeebs563, 9 months ago

. If tan a =1/2
tan B = 1/3 then (a +B)​

Answers

Answered by Anonymous
4

Answer:

please mark as brain list ans

Step-by-step explanation:

tan(a+b)=tanA+tanB/1-tana.tanb

1/2+1/3

/1-1/2×1×3

5/6/5/6=1

Answered by BrainlyPopularman
6

GIVEN :

• tan(A) = ½

• tan(B) = ⅓

TO FIND :

• tan(A + B) = ?

SOLUTION :

We know that –

  \\ \implies \large { \boxed { \bold{ \tan(A + B) =  \dfrac{ \tan(A ) +  \tan(B)  }{1 -  \tan(A) \tan(B) }}}} \\

• Now put the values –

  \\ \implies  \bold{ \tan(A + B) =  \dfrac{ \dfrac{1}{2}  + \dfrac{1}{3} }{1 -   \left(\dfrac{1}{2}  \right) \left(\dfrac{1}{3}  \right)}} \\

  \\ \implies  \bold{ \tan(A + B) =  \dfrac{ \dfrac{3 + 2}{6}}{1 -   \left(\dfrac{1}{6}  \right)}} \\

  \\ \implies  \bold{ \tan(A + B) =  \dfrac{ \dfrac{3 + 2}{ \cancel6}}{ \dfrac{6 - 1}{ \cancel6}  }} \\

  \\ \implies { \bold{ \tan(A + B) = \cancel \dfrac{5}{5}  }} \\

  \\ \implies \large { \boxed{ \bold{ \tan(A + B) =  1  }}} \\

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