Cos(x+45)-cos(x-45)=1

Simple and best practice solution for Cos(x+45)-cos(x-45)=1 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(x+45)-cos(x-45)=1 equation: 


Simplifying
Cos(x + 45) + -1cos(x + -45) = 1

Reorder the terms:
osC(45 + x) + -1cos(x + -45) = 1
(45 * osC + x * osC) + -1cos(x + -45) = 1
(45osC + osxC) + -1cos(x + -45) = 1

Reorder the terms:
45osC + osxC + -1cos(-45 + x) = 1
45osC + osxC + (-45 * -1cos + x * -1cos) = 1
45osC + osxC + (45cos + -1cosx) = 1

Reorder the terms:
45cos + -1cosx + 45osC + osxC = 1

Solving
45cos + -1cosx + 45osC + osxC = 1

Solving for variable 'c'.

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

Add '-45osC' to each side of the equation.
45cos + -1cosx + 45osC + -45osC + osxC = 1 + -45osC

Combine like terms: 45osC + -45osC = 0
45cos + -1cosx + 0 + osxC = 1 + -45osC
45cos + -1cosx + osxC = 1 + -45osC

Add '-1osxC' to each side of the equation.
45cos + -1cosx + osxC + -1osxC = 1 + -45osC + -1osxC

Combine like terms: osxC + -1osxC = 0
45cos + -1cosx + 0 = 1 + -45osC + -1osxC
45cos + -1cosx = 1 + -45osC + -1osxC

Reorder the terms:
-1 + 45cos + -1cosx + 45osC + osxC = 1 + -45osC + -1osxC + -1 + 45osC + osxC

Reorder the terms:
-1 + 45cos + -1cosx + 45osC + osxC = 1 + -1 + -45osC + 45osC + -1osxC + osxC

Combine like terms: 1 + -1 = 0
-1 + 45cos + -1cosx + 45osC + osxC = 0 + -45osC + 45osC + -1osxC + osxC
-1 + 45cos + -1cosx + 45osC + osxC = -45osC + 45osC + -1osxC + osxC

Combine like terms: -45osC + 45osC = 0
-1 + 45cos + -1cosx + 45osC + osxC = 0 + -1osxC + osxC
-1 + 45cos + -1cosx + 45osC + osxC = -1osxC + osxC

Combine like terms: -1osxC + osxC = 0
-1 + 45cos + -1cosx + 45osC + osxC = 0

The solution to this equation could not be determined.

See similar equations:

| 0.1/48=×/960 | | x^2+5x-3=7 | | -x+10y=-2 | | -5(3x-4)=14 | | -5(3x-4)=-16 | | -2g-11g=54 | | -2(19-8t)=-16 | | 3xy=8+10 | | 2x+3=3-2+2 | | 3x-7x+3=0 | | -10=-2p-3p | | a+16=20 | | 23=2u-9 | | 18+34=2xn | | 4m-7=9m+3 | | 4b+19=35 | | 2xr-t5e/53=6029 | | 4m-11=9m | | -3{7-2[5/3-3/7]-[5-(22/11-6/12)]} | | 2x-6=4y | | n=3+10 | | 15=4.3n-2.11(n-4) | | 72+x(x-2)=180 | | -10(-2h+6)= | | -g+9(g+2)= | | 2d+18=12-6(x+7) | | cos^2(3x)+sin^2(3x)=3 | | 13d-9-12d+9= | | -17a-2a+25-19= | | x+2x+9x+18=18 | | X/5=1.5 | | y/7-3÷3/5 |

Equations solver categories