Cos(2x)+2cos(x)+Sin^2(x)+1=0

Simple and best practice solution for Cos(2x)+2cos(x)+Sin^2(x)+1=0 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 Cos(2x)+2cos(x)+Sin^2(x)+1=0 equation: 


Simplifying
Cos(2x) + 2cos(x) + Sin2(x) + 1 = 0

Remove parenthesis around (2x)
osC * 2x + 2cos(x) + Sin2(x) + 1 = 0

Reorder the terms for easier multiplication:
2osC * x + 2cos(x) + Sin2(x) + 1 = 0

Multiply osC * x
2osxC + 2cos(x) + Sin2(x) + 1 = 0

Multiply cos * x
2osxC + 2cosx + Sin2(x) + 1 = 0

Multiply in2S * x
2osxC + 2cosx + in2xS + 1 = 0

Reorder the terms:
1 + 2cosx + in2xS + 2osxC = 0

Solving
1 + 2cosx + in2xS + 2osxC = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + 2cosx + in2xS + -1 + 2osxC = 0 + -1

Reorder the terms:
1 + -1 + 2cosx + in2xS + 2osxC = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2cosx + in2xS + 2osxC = 0 + -1
2cosx + in2xS + 2osxC = 0 + -1

Combine like terms: 0 + -1 = -1
2cosx + in2xS + 2osxC = -1

Add '-1in2xS' to each side of the equation.
2cosx + in2xS + -1in2xS + 2osxC = -1 + -1in2xS

Combine like terms: in2xS + -1in2xS = 0
2cosx + 0 + 2osxC = -1 + -1in2xS
2cosx + 2osxC = -1 + -1in2xS

Add '-2osxC' to each side of the equation.
2cosx + 2osxC + -2osxC = -1 + -1in2xS + -2osxC

Combine like terms: 2osxC + -2osxC = 0
2cosx + 0 = -1 + -1in2xS + -2osxC
2cosx = -1 + -1in2xS + -2osxC

Divide each side by '2osx'.
c = -0.5o-1s-1x-1 + -0.5in2o-1s-1S + -1C

Simplifying
c = -0.5o-1s-1x-1 + -0.5in2o-1s-1S + -1C

Reorder the terms:
c = -1C + -0.5in2o-1s-1S + -0.5o-1s-1x-1

See similar equations:

| 11x+5=12x-8 | | x^3-3x^2=40x | | -7(-3)+2y=35 | | 31+x=42 | | 0=-16t^2+410t+84 | | r-7=9 | | -2(7-9f)=-28 | | -4x+5y=19 | | 4x-2(5)=-42 | | w+65=100 | | x/100=400/600 | | y^2+3y-21=0 | | 12+24(10-4)(9-7)-17= | | -7(-4)+2y=36 | | -5(-6)+8Y=46 | | 13/5=26r/5-(-9r/5-3/5) | | 38=19j | | 2k^6m^5+6k^8m^5-10k^6m^6= | | 2(4s+8)=96 | | -2(-2)+9y=49 | | -9(-4)+7y=57 | | 7(2l+4)=140 | | 6z-4=5z+0 | | 33+d=65 | | 3(a-10)=39 | | 45+83x=50 | | 5x-7(4)=-43 | | 12=r-76 | | 4ex=16 | | 2Y+3X=-31-6Y-4X | | 25-8x=-8 | | (4+x)-(x+16)=16 |

Equations solver categories