sin(2x)-cos(x)=2sin(x)-1

Simple and best practice solution for sin(2x)-cos(x)=2sin(x)-1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for sin(2x)-cos(x)=2sin(x)-1 equation: 


Simplifying
sin(2x) + -1cos(x) = 2sin(x) + -1

Remove parenthesis around (2x)
ins * 2x + -1cos(x) = 2sin(x) + -1

Reorder the terms for easier multiplication:
2ins * x + -1cos(x) = 2sin(x) + -1

Multiply ins * x
2insx + -1cos(x) = 2sin(x) + -1

Multiply cos * x
2insx + -1cosx = 2sin(x) + -1

Reorder the terms:
-1cosx + 2insx = 2sin(x) + -1

Multiply ins * x
-1cosx + 2insx = 2insx + -1

Reorder the terms:
-1cosx + 2insx = -1 + 2insx

Add '-2insx' to each side of the equation.
-1cosx + 2insx + -2insx = -1 + 2insx + -2insx

Combine like terms: 2insx + -2insx = 0
-1cosx + 0 = -1 + 2insx + -2insx
-1cosx = -1 + 2insx + -2insx

Combine like terms: 2insx + -2insx = 0
-1cosx = -1 + 0
-1cosx = -1

Solving
-1cosx = -1

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Divide each side by '-1osx'.
c = o-1s-1x-1

Simplifying
c = o-1s-1x-1

See similar equations:

| 0.71-0.222n=1.03-0.62n | | 2y+11=-3(y+6) | | 5w-8=-9 | | 49=21n | | 72=x+x^2 | | 48b+20=-1+48b | | (2x-5y)-(-3x+4y)= | | 2(m+16)=44 | | 22=16+m | | 0.50=ln(.95) | | 6x+64=2080 | | -13+p=-19 | | 0.50=log(.41) | | -1+k=5 | | X(2)-2x+5=0 | | (2x^2+1)(5x^2+4)= | | 340=20n | | 140=2x^2+6x | | 7x+2x=8x-7 | | -9X+5=50 | | 0=-16x^2+720 | | -114=6n-6(1-5n) | | 2x+2y+1=0 | | -(r-2)=0 | | 88=2x^2+14x | | -5x^2+80x-280=35 | | 9+m=-7 | | 13a=-143 | | .16x+.9(x-2)=.01(5x-4) | | -7=a+4 | | 0=-3z+26 | | 20b=-200 |

Equations solver categories