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

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


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

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

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

Reorder the terms for easier multiplication:
4insx + 3 * 3cos * x = 2

Multiply 3 * 3
4insx + 9cos * x = 2

Multiply cos * x
4insx + 9cosx = 2

Reorder the terms:
9cosx + 4insx = 2

Solving
9cosx + 4insx = 2

Solving for variable 'c'.

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

Add '-4insx' to each side of the equation.
9cosx + 4insx + -4insx = 2 + -4insx

Combine like terms: 4insx + -4insx = 0
9cosx + 0 = 2 + -4insx
9cosx = 2 + -4insx

Divide each side by '9osx'.
c = 0.2222222222o-1s-1x-1 + -0.4444444444ino-1

Simplifying
c = 0.2222222222o-1s-1x-1 + -0.4444444444ino-1

Reorder the terms:
c = -0.4444444444ino-1 + 0.2222222222o-1s-1x-1

See similar equations:

| 5q-8=45 | | 5q+8=45 | | 2e+10=16 | | 15a^4b^2-10a^5b^4/5a^3b^2 | | 6+30x=20x+8 | | 5x+32=8x-10 | | 3(2n-1)=4(n+5)+1 | | 1500-90000x+2x=0 | | 6x+3y=28 | | 2(x-1)=3(2-x) | | 2.4x=256 | | 9(4-x)=18 | | 3z-15=22-11 | | 16a-5c=45 | | 9a+3c=66 | | 32-15=22-11 | | -4x^2-3x+7=10 | | 20xy+20x+2= | | 3(b+2)+5=8b+13 | | 3(b+2)+5= | | 9(2a+7)=3(4a-3) | | 25/2^1/2 | | p^2-25p=0 | | 89=-12x+5 | | -9/13=x39 | | 2q-q= | | 15+x=7 | | y=cos(45°-(3.14/4)) | | S=b+2p | | 5600+170x-3x^2=0 | | 3x^2-170x+5600=0 | | 9x^4+1=0 |

Equations solver categories