4sin(2x)+3cos(2x)=5

Simple and best practice solution for 4sin(2x)+3cos(2x)=5 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 4sin(2x)+3cos(2x)=5 equation:


Simplifying
4sin(2x) + 3cos(2x) = 5

Remove parenthesis around (2x)
4ins * 2x + 3cos(2x) = 5

Reorder the terms for easier multiplication:
4 * 2ins * x + 3cos(2x) = 5

Multiply 4 * 2
8ins * x + 3cos(2x) = 5

Multiply ins * x
8insx + 3cos(2x) = 5

Remove parenthesis around (2x)
8insx + 3cos * 2x = 5

Reorder the terms for easier multiplication:
8insx + 3 * 2cos * x = 5

Multiply 3 * 2
8insx + 6cos * x = 5

Multiply cos * x
8insx + 6cosx = 5

Reorder the terms:
6cosx + 8insx = 5

Solving
6cosx + 8insx = 5

Solving for variable 'c'.

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

Add '-8insx' to each side of the equation.
6cosx + 8insx + -8insx = 5 + -8insx

Combine like terms: 8insx + -8insx = 0
6cosx + 0 = 5 + -8insx
6cosx = 5 + -8insx

Divide each side by '6osx'.
c = 0.8333333333o-1s-1x-1 + -1.333333333ino-1

Simplifying
c = 0.8333333333o-1s-1x-1 + -1.333333333ino-1

Reorder the terms:
c = -1.333333333ino-1 + 0.8333333333o-1s-1x-1

See similar equations:

| 0=-x^2-8x | | 6b-1=17 | | 9c-7=38 | | X+-4=5+4 | | 0.2x+11250-0.225x=10500 | | 4(p+2)=23 | | x-0.16=84 | | 4p+15=25 | | x-0.16=x | | Log(9x+1)-2=0 | | 20=2x+in(1) | | 7x-13=36x-83 | | 16x^2+31x-2=0 | | 16x^2+31x+2=0 | | 3x-4/7=2x-3/4 | | 2+1g= | | mx^2-x(x+4)+2=0 | | (2x-6)(x+1)=0byzero-factoring | | 2cos105.cos15/cos(45-x).cosx-sin(45-x).sinx | | x+8x+3x+110=180 | | 12(2x-8)=4(9+10x) | | 1.5(x-1)=4 | | 3(2x+5)=46 | | -1(2x-2)=6 | | 72+72+3x=180 | | 8x+3x+110=180 | | 5t^2+2=22 | | 3x-5+30+140=180 | | 5(x+3)+3x=-25 | | x^2+y^2+3xy=4 | | 5(-2y+-8)=-40 | | 72+72+3x+7x=180 |

Equations solver categories