Math, asked by rahulmaurya11, 6 months ago

If tan α =
1
2
and tan β =
1
3
, then the value of α + β:

Answers

Answered by nikhiljames612
1

Answer:

answer is

Step-by-step explanation:

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Answered by manissaha129
0

Answer:

 →\tan( \alpha )  =  \frac{1}{2}\:(given)  \\ → \tan( \beta )  =  \frac{1}{3}\:(given)  \\→\boxed{  \tan( \alpha  +  \beta )  =  \frac{ \tan( \alpha )  +  \tan( \beta ) }{1 -  \tan( \alpha ) \tan( \beta )  }} ✓ \\→ \tan( \alpha  +  \beta )  =  \frac{( \frac{1}{2} +\frac{1}{3})}{1 - ( \frac{1}{2}  \times\frac{1}{3})}  \\ → \tan( \alpha  +  \beta )  =  \frac{ \frac{(3 + 2)}{6} }{1 - ( \frac{1}{6}) }  \\ → \tan( \alpha  +  \beta )  =  \frac{ \frac{5}{6} }{ \frac{5}{6} }  \\ → \tan( \alpha  +  \beta )  = 1 \\→ ( \alpha  +  \beta ) =  \tan ^{ - 1} (1)  \\ → \boxed{( \alpha  +  \beta ) =  \frac{\pi}{4} }✓

  • π/4 is the right answer.
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