sin(5x)-1=cos(5x)

Simple and best practice solution for sin(5x)-1=cos(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 sin(5x)-1=cos(5x) equation:


Simplifying
sin(5x) + -1 = cos(5x)

Remove parenthesis around (5x)
ins * 5x + -1 = cos(5x)

Reorder the terms for easier multiplication:
5ins * x + -1 = cos(5x)

Multiply ins * x
5insx + -1 = cos(5x)

Reorder the terms:
-1 + 5insx = cos(5x)

Remove parenthesis around (5x)
-1 + 5insx = cos * 5x

Reorder the terms for easier multiplication:
-1 + 5insx = 5cos * x

Multiply cos * x
-1 + 5insx = 5cosx

Solving
-1 + 5insx = 5cosx

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + 5insx = 1 + 5cosx

Combine like terms: -1 + 1 = 0
0 + 5insx = 1 + 5cosx
5insx = 1 + 5cosx

Divide each side by '5nsx'.
i = 0.2n-1s-1x-1 + cn-1o

Simplifying
i = 0.2n-1s-1x-1 + cn-1o

Reorder the terms:
i = cn-1o + 0.2n-1s-1x-1

See similar equations:

| 10=1+3x-6x | | 2x-1/5=3 | | -120=3(4x-8) | | 4[-6z+9]=22 | | 27/3x-9=171 | | 4y+x=106 | | -5x-8+3-4x=3(3x+2)-2 | | 8x-91/7=4x | | 44=14-2y | | 6.25y=-100 | | 5x-6y=2.7 | | -5x-8+3-4x=1 | | Y+2=-3(-2-4) | | 2(2x+2)=7(x+5) | | 5x+4y=54.6 | | 3-x=1.8+0.6x | | 2(5x+4)=-5(x+5) | | 4x+3-6x=-2(x-7)+2 | | 5x+4y=56.6 | | 8.6x+15.48=25.8 | | -4x-6y=17 | | 3(3x+5)=-7(x+3) | | -27=7h+3 | | 2[5-d]=2-4d | | .5x+(-6)=1 | | -2(y-3)+7=-7y+3 | | -21c-6=-3 | | 7(3x-2)=11(2x-3) | | 5(5x+2)=4(x+4) | | 6(5x+2)=7(x+2) | | 36+c=54 | | 3x-9-19=-35.8 |

Equations solver categories