Question

4 tan 10 ° + tan 20 ° + 2 tan 40 ° = ____________

Answer in terms of ' cot '

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Answer 1

Question:

To find the value of :-

4 tan 10 ° + tan 20 ° + 2 tan 40 °

Answer:

$\underline\bold{2.745} \: is \: your \: answer.$

Step-by-step explanation:

We know that,

$tan \: 10° = 0.176$

$tan \: 20° = 0.363$

$tan \: 40° = 0.839$

$4tan \: 10° + tan \: 20° + 2tan \: 40 °$

$\Rightarrow 4(0.176) + 0.363 + 0.839$

$\Rightarrow 0.704 + 0.363 + 1.678$

$\Rightarrow \boxed{2.745}$

Answer 2

Answer:

We know that,

tan \: 10° = 0.176tan10°=0.176

tan \: 20° = 0.363tan20°=0.363

tan \: 40° = 0.839tan40°=0.839

4tan \: 10° + tan \: 20° + 2tan \: 40 °4tan10°+tan20°+2tan40°

\Rightarrow 4(0.176) + 0.363 + 0.839⇒4(0.176)+0.363+0.839

\Rightarrow 0.704 + 0.363 + 1.678⇒0.704+0.363+1.678n7

\Rightarrow \boxed{2.745}⇒

2.745

Step-by-step explanation:

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