cos(3x-22)=sin(5x)

Simple and best practice solution for cos(3x-22)=sin(5x) 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(3x-22)=sin(5x) equation: 


Simplifying
cos(3x + -22) = sin(5x)

Reorder the terms:
cos(-22 + 3x) = sin(5x)
(-22 * cos + 3x * cos) = sin(5x)
(-22cos + 3cosx) = sin(5x)

Remove parenthesis around (5x)
-22cos + 3cosx = ins * 5x

Reorder the terms for easier multiplication:
-22cos + 3cosx = 5ins * x

Multiply ins * x
-22cos + 3cosx = 5insx

Solving
-22cos + 3cosx = 5insx

Solving for variable 'c'.

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

Combine like terms: 5insx + -5insx = 0
-22cos + 3cosx + -5insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-22co + 3cox + -5inx) = 0


Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Add '-1s' to each side of the equation.
s + -1s = 0 + -1s
Remove the zero:
0 = -1s

Simplifying
0 = -1s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-22co + 3cox + -5inx)' equal to zero and attempt to solve:

Simplifying
-22co + 3cox + -5inx = 0

Solving
-22co + 3cox + -5inx = 0

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

Add '5inx' to each side of the equation.
-22co + 3cox + -5inx + 5inx = 0 + 5inx

Combine like terms: -5inx + 5inx = 0
-22co + 3cox + 0 = 0 + 5inx
-22co + 3cox = 0 + 5inx
Remove the zero:
-22co + 3cox = 5inx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 15d-2d-11d=12 | | 4(x-6)+7=6x-6 | | -3(y+2)+7y+4=38 | | 11+-2b=17 | | 5x+4-3(x+1)=7 | | 8x+-11=-9 | | -10=-5(8p-6) | | 3-5(2x+3)=4x-3(6-5x) | | 14x+7=20x-15 | | 3x=2/2=13 | | -xy+y^2=-14x+10 | | 120+10l=150+4l | | s-16=-5 | | 0=10-12x-2y | | 8(x-1)+10-4x=18 | | 12x+25=3x+70 | | 12-0.5m=18-2m | | 8z+8= | | -85=-10n+5 | | 5/100=1.50/x | | 20/55=32/x | | x+3.6=10 | | k-1.6=16.1 | | 13z-5z-6z-2z+z=13 | | 2x-4/5=4 | | 3(x+6)-14+2x=34 | | -5*3+-2d=-35 | | -85=-10+5 | | -2(z-8)=6 | | -9*-3*-9x=12 | | 60/100=x/120 | | -2(x+4)+7x=22 |

Equations solver categories