Question

TanA=18/17, TanB=1/35then Tan(A+B) ​

Answer 1

Answer:

$\tan( \alpha + \beta ) = 1.121$

Step-by-step explanation:

$\tan( \alpha + \beta ) = \frac{ \tan( \alpha ) + \tan( \beta ) }{1 - \tan( \alpha ) \tan( \beta ) }$

$\tan( \alpha + \beta ) = \frac{ \frac{18}{17} + \frac{1}{35} }{1 - \frac{18}{17 \times 35} }$

$= \frac{18 \times 35 + 17}{17 \times 35} \times \frac{17 \times 35}{17 \times 35 - 18}$

$= \frac{18 \times 35 + 17}{17 \times 35 - 18}$

$= \frac{647}{577}$

$= 1.121$

Answer 2

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