Mathematics: Let tan(x)=2/5 . what is the value of tan(π+x) ?

Let tan(x)=2/5 . what is the value of tan(π+x) ?

Ответ:

Suhayb981

11.03.2022

Mathematics

tan (pi+x) = 2/5

Step-by-step explanation:

Find tan (pi +x)

tan(A + B) = (tan A + tan B) / (1 − tan A tan B)

tan(pi + x) = (tan pi + tan x) / (1 − tan pi tan x)

tan(x)=2/5 and tan (pi) = 0

tan(pi + x) = (0 + 2/5) / (1 − 0*2/5)

= 2/5 /(1-0

=2/5

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Ответ:

teFazoe9550

11.03.2022

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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Ответ:

Idontreallycare16

22.03.2021

Mathematics

Step-by-step explanation:

you can do this i bleave in you you are very smart just try

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Let tan(x)=2/5 . what is the value of tan(π+x) ?

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