Mathematics: Your brother is twice as tall as your sister

Here,tan(x)=2/5we have to find the value of tan(π+x)we know that, According to the question, But,tanπ=0tanX=2/5putting the value, Therefore,...

Your brother is twice as tall as your sister

Ответ:

teFazoe9550

18.06.2022

Mathematics

$\boxed{\large{\bold{\blue{ANSWER~:) }}}}$

Here,

tan(x)=2/5

we have to find the value of tan(π+x)

we know that,

$\boxed{\sf{tan(A+B)=\dfrac{tanA+tanB}{1-tanA.tanB} } }$

According to the question,

$\sf{tan(π+x)=\dfrac{tanπ+tanX}{1-tanπ.tanX}}$

But,

tanπ=0tanX=2/5

putting the value,

$\sf{tan(π+x)=\dfrac{0+\frac{2}{5}}{1-0.\frac{2}{5}}}$ $\sf{tan( π+x)=\dfrac{\frac{2}{5}}{1-0} }$ $\sf{tan( π+x)=\dfrac{\frac{2}{5}}{1} }$ $\sf{tan( π+x)=\dfrac{2}{5}×1 }$ $\sf{tan( π+x)=\dfrac{2}{5} }$

Therefore,

$\sf{The~ value~ of _{_{tan(π+x)}}=\dfrac{2}{5} }$

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Your brother is twice as tall as your sister

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