sin(3x+10)=cos(2x-10)

Simple and best practice solution for sin(3x+10)=cos(2x-10) 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(3x+10)=cos(2x-10) equation: 


Simplifying
sin(3x + 10) = cos(2x + -10)

Reorder the terms:
ins(10 + 3x) = cos(2x + -10)
(10 * ins + 3x * ins) = cos(2x + -10)
(10ins + 3insx) = cos(2x + -10)

Reorder the terms:
10ins + 3insx = cos(-10 + 2x)
10ins + 3insx = (-10 * cos + 2x * cos)
10ins + 3insx = (-10cos + 2cosx)

Solving
10ins + 3insx = -10cos + 2cosx

Solving for variable 'i'.

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

Reorder the terms:
10cos + -2cosx + 10ins + 3insx = -10cos + 2cosx + 10cos + -2cosx

Reorder the terms:
10cos + -2cosx + 10ins + 3insx = -10cos + 10cos + 2cosx + -2cosx

Combine like terms: -10cos + 10cos = 0
10cos + -2cosx + 10ins + 3insx = 0 + 2cosx + -2cosx
10cos + -2cosx + 10ins + 3insx = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
10cos + -2cosx + 10ins + 3insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(10co + -2cox + 10in + 3inx) = 0


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing i 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 '(10co + -2cox + 10in + 3inx)' equal to zero and attempt to solve:

Simplifying
10co + -2cox + 10in + 3inx = 0

Solving
10co + -2cox + 10in + 3inx = 0

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

Add '-10co' to each side of the equation.
10co + -2cox + 10in + -10co + 3inx = 0 + -10co

Reorder the terms:
10co + -10co + -2cox + 10in + 3inx = 0 + -10co

Combine like terms: 10co + -10co = 0
0 + -2cox + 10in + 3inx = 0 + -10co
-2cox + 10in + 3inx = 0 + -10co
Remove the zero:
-2cox + 10in + 3inx = -10co

Add '2cox' to each side of the equation.
-2cox + 10in + 2cox + 3inx = -10co + 2cox

Reorder the terms:
-2cox + 2cox + 10in + 3inx = -10co + 2cox

Combine like terms: -2cox + 2cox = 0
0 + 10in + 3inx = -10co + 2cox
10in + 3inx = -10co + 2cox

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:

| x^2+x^3=0.000016 | | x/3.75=4 | | -6yz+12xz+5xy= | | 3x-5(x-5)=-8+4x+21 | | 4+v=3 | | 4tv=3 | | 44=18-6(-4-3w) | | 3(x-7)-2(3x+5)=ax+b | | 4x+12+3x=40 | | 6x+9=3(x+9) | | up+yz=x | | 5x-7=47 | | 3x+2x-19=x | | 3(x+9)=5x+7 | | 3x-15+x=13 | | -16=18x+-10 | | x-y=-3x-3y | | -2/3-4/5 | | 35+18m=251 | | 0.9x=0.3x+48 | | 3(x-7)-2(x+5)=ax+b | | 0.9y=0.3x+48 | | 30n-49=161 | | 27=3(x+2)-6x | | 4(W+3)-3(2W-1)=W | | tan(4x+5)=-6 | | 15x=24+7x | | -.8x+.25=.2+.33x | | 6m+4.25=55.25 | | 3x+4(x-3)=36 | | 6+4.25=55.25 | | 2a^2*2a^2= |

Equations solver categories