Question

2 sin x= cos x sec x

Answer 1

2sinx = cosx secx

                 

 ( secx  = 1/cosx )

  2sinx = cosx*1/cosx

   2sinx  =  1

  -------    ------

     2         2

-----------------------

sinx = 1/2

x = 30 , becouse sin30 = 1/2

Answer 2

2sin(x)=cos(x)*sec(x)

2sin(x)=cos(x)*(1/cos(x))

2sin(x)=cos(x)/cos(x)

2sin(x)=1

sin(x)=1/2

x=arcsin(1/2)=Pi/6