cos(3x+10)=sin(2x-5)

Simple and best practice solution for cos(3x+10)=sin(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 cos(3x+10)=sin(2x-5) equation: 


Simplifying
cos(3x + 10) = sin(2x + -5)

Reorder the terms:
cos(10 + 3x) = sin(2x + -5)
(10 * cos + 3x * cos) = sin(2x + -5)
(10cos + 3cosx) = sin(2x + -5)

Reorder the terms:
10cos + 3cosx = ins(-5 + 2x)
10cos + 3cosx = (-5 * ins + 2x * ins)
10cos + 3cosx = (-5ins + 2insx)

Solving
10cos + 3cosx = -5ins + 2insx

Solving for variable 'c'.

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

Reorder the terms:
10cos + 3cosx + 5ins + -2insx = -5ins + 5ins + 2insx + -2insx

Combine like terms: -5ins + 5ins = 0
10cos + 3cosx + 5ins + -2insx = 0 + 2insx + -2insx
10cos + 3cosx + 5ins + -2insx = 2insx + -2insx

Combine like terms: 2insx + -2insx = 0
10cos + 3cosx + 5ins + -2insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(10co + 3cox + 5in + -2inx) = 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 '(10co + 3cox + 5in + -2inx)' equal to zero and attempt to solve:

Simplifying
10co + 3cox + 5in + -2inx = 0

Solving
10co + 3cox + 5in + -2inx = 0

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

Add '-5in' to each side of the equation.
10co + 3cox + 5in + -5in + -2inx = 0 + -5in

Combine like terms: 5in + -5in = 0
10co + 3cox + 0 + -2inx = 0 + -5in
10co + 3cox + -2inx = 0 + -5in
Remove the zero:
10co + 3cox + -2inx = -5in

Add '2inx' to each side of the equation.
10co + 3cox + -2inx + 2inx = -5in + 2inx

Combine like terms: -2inx + 2inx = 0
10co + 3cox + 0 = -5in + 2inx
10co + 3cox = -5in + 2inx

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:

| 7x+1=x+16 | | .66x=50000 | | (w-4)(2w+10)(w)-264=0 | | lx-10l=4 | | f(20000)=x^2 | | 3x+2(x-9)=8x+x-2 | | .66x=100000 | | 6x^2=3+7x | | 32=6v-1(2v+8) | | 6x+10y=18 | | 11x^2-6x-16=0 | | .66x=2500 | | 4(2x-8)+2x+8=66 | | 11x^2-6x=16 | | x=.66y | | 88/u=4 | | Q/2-=18 | | cos35=4/x | | 35=-2x-48 | | 9(3x-11)-4=1(x-8)-43 | | -39x+21=64+84x | | 8x+12=5x+27 | | 1x-7=-4x+38 | | 35-5u=-48 | | 9(-4x-16)=12(-6-3x) | | -69=3 | | 6x+37=39 | | 3(y-1)=-2y-8 | | (10x-4y)=(2x+y) | | 3z-8=1 | | x=4/x=9/=6.5 | | (6-5xy)= |

Equations solver categories