Question

 

The smallest +ive x such that 

     

Solution

Correct option is

60o

 

  

Apply componendo and dividendo,  

       

                                           

Multiple both sides by 2. 

   

  

We have to find smallest +ive value of x and we choose n = 1.

                          

   

SIMILAR QUESTIONS

Q1

 

The number of solutions of the pair of equations 

         

            

in the interval  is

Q2

If  are the smallest +ive angles in ascending order of magnitude which have their sines equal to a +ive quantity  then the value of 

Q3

The equation  possesses a solution if

Q4

The number of values of x in the interval  satisfying the equation  is

Q5

The number of solutions of the equation 

Q6

 

If n be the number of solutions of the equation

         , then n =

Q7

 

The values of x between 0 and  which satisfy the equation

      

are in A.P. The common difference of the A.P.

Q8

 

The number of pairs (xy) satisfying the equations

    

Q9

 

Q10

 

The general solution of the trigonometrical equation

     is given by