Question

Given that 2sinxcosx-cosx+2sinx-1=0,find the value ofx

Answer 1

Answer:

x = 30 , 150 , 180 Degree

Step-by-step explanation:

   2 sinx cosx - cosx + 2 sinx - 1 = 0

or, cosx ( 2 sinx - 1) + 1 ( 2 sinx - 1) = 0

or, (2 sinx - 1) ( cosx + 1) = 0

           Either, 2 sinx - 1 = 0

or, sinx = 1 / 2

or, sinx = sin 30 Degree, sin 150 Deg

or, x = 30, 150

           OR, cosx + 1 = 0

or,  cosx = -1 = cos 180 Degree

or, x = 180