Question

how do i solve the equation:
cos(2x)=sin(x)

Answer 1

sin(x)=cos(2x)
USE THE IDENTITY

Answer 2

on the right side

Answer 3

sin(x)=1-2sin^2 x
2sin^2 x+ sin (x)-1=0
the left side factor just like 2y^2 + y -1 factor as (2y-1).(y+1)
(2sin(x)-1).(sin(x)+1)=0
set each factor as 0
setting the first factor 0
2sin(x)-1=0
2sin(x)=1
sin(x)=1/2
x=30degree and 150 degree
setting the second factor=0
sin(x)+1=0
sin(x)=-1
x=270degree
so there are 3 solution in degrees between 0 and 360

Answer 4

Cheers!

Answer 5

None should tell the whole process of doing a math!!