Question

tan 35 + 2tan 20 = tan x, x = ?​

Answer 1

Answer:

x=55 this is answer for the question

Answer 2

Given : tan 35 + 2tan 20 = tan x

To Find :  x

Solution:

tan 35 + 2tan 20 = tan x  

LHS = tan 35 + 2tan 20

 20  = 55 - 35

= Tan 35 +  2Tan ( 55 - 35)

=  Tan 35 +  2(Tan 55 - Tan 35) /(1 + Tan55 . Tan35)

Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1

=  Tan 35 +  2(Tan 55 - Tan 35) /(1 + 1)

=  Tan 35 +  2(Tan 55 - Tan 35) /2

=  Tan 35 +   (Tan 55 - Tan 35)  

=  Tan 35 +   Tan 55 - Tan 35  

=  Tan 55  

Tanx  = Tan 55

=> x = 55

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