Question

Tan35°+2tan20°=tanX, then find the value of X

Answer 1

Answer:

55

Step-by-step explanation:

Given  

Tan 35°+2 tan 20°=tan X, then find the value of X

given tan 35 + 2 tan 20 = tan x

We know that  

Tan 20 = tan (55 – 35)

           = tan 55 – tan 35 / 1 + tan 55 tan (90 – 55)

          = tan 55 – tan 35 / 1 + tan 55 cot 55

         We know that tan theta x cot theta = 1

So tan 20 = tan 55 – tan 35 / 2

   So 2 tan 20 + tan 35 = tan 55 = tan x

                  So x = 55 degree

Answer 2

Answer:

55.

Step-by-step explanation:

may it will help you