Question

If tan x + tan (x + π/3) + tan (x + 2π/3) = 3, then

Solution

Correct option is

tan 3x = 1

The given equation can be written as

       

                     

     

       

        

    

  ⇒ tan 3x = 1

SIMILAR QUESTIONS

Q1

If θ lies in the first quadrant and cos θ = 8/17, then the value of cos (300 +θ) + cos (450 – θ) + cos (1200 – θ) is

Q2

If A lies in the second quadrant and 3 tan A + 4 = 0, the value of 2 cot A – 5 cos A + sin A is equal to

Q3

The value of the determinant

                          

Is zero if

Q4

  is equal to

Q5

An angle α is divided into two parts so that the ratio of the tangents of these parts is λ. If the difference between these parts is x then sinx/sinα is equal to

Q6

 

 or equal to

Q7

Given θ Ïµ (0,π/4) and t1 = (tan θ)tanθ t2 = (tan θ)cotθt3 = (cot θ)tanθand t4 = (cot θ)cotθ then

Q8

If x = sin αy = sin βz = sin (α + β) then cos (α + β) =

Q9

The radius of the circle

 

Q10

The equation cos 2x + a sin x = 2a – 7 possesses a solution if