cos(45-x)cos(45-y)-sin(45-x)sin(45-y)=

Simple and best practice solution for cos(45-x)cos(45-y)-sin(45-x)sin(45-y)= 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(45-x)cos(45-y)-sin(45-x)sin(45-y)= equation:


Simplifying
cos(45 + -1x) * cos(45 + -1y) + -1sin(45 + -1x) * sin(45 + -1y) = 0

Reorder the terms for easier multiplication:
cos * cos(45 + -1x)(45 + -1y) + -1sin(45 + -1x) * sin(45 + -1y) = 0

Multiply cos * cos
c2o2s2(45 + -1x)(45 + -1y) + -1sin(45 + -1x) * sin(45 + -1y) = 0

Multiply (45 + -1x) * (45 + -1y)
c2o2s2(45(45 + -1y) + -1x * (45 + -1y)) + -1sin(45 + -1x) * sin(45 + -1y) = 0
c2o2s2((45 * 45 + -1y * 45) + -1x * (45 + -1y)) + -1sin(45 + -1x) * sin(45 + -1y) = 0
c2o2s2((2025 + -45y) + -1x * (45 + -1y)) + -1sin(45 + -1x) * sin(45 + -1y) = 0
c2o2s2(2025 + -45y + (45 * -1x + -1y * -1x)) + -1sin(45 + -1x) * sin(45 + -1y) = 0
c2o2s2(2025 + -45y + (-45x + 1xy)) + -1sin(45 + -1x) * sin(45 + -1y) = 0

Reorder the terms:
c2o2s2(2025 + -45x + 1xy + -45y) + -1sin(45 + -1x) * sin(45 + -1y) = 0
c2o2s2(2025 + -45x + 1xy + -45y) + -1sin(45 + -1x) * sin(45 + -1y) = 0
(2025 * c2o2s2 + -45x * c2o2s2 + 1xy * c2o2s2 + -45y * c2o2s2) + -1sin(45 + -1x) * sin(45 + -1y) = 0
(2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y) + -1sin(45 + -1x) * sin(45 + -1y) = 0

Reorder the terms for easier multiplication:
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -1ins * ins(45 + -1x)(45 + -1y) = 0

Multiply ins * ins
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -1i2n2s2(45 + -1x)(45 + -1y) = 0

Multiply (45 + -1x) * (45 + -1y)
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -1i2n2s2(45(45 + -1y) + -1x * (45 + -1y)) = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -1i2n2s2((45 * 45 + -1y * 45) + -1x * (45 + -1y)) = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -1i2n2s2((2025 + -45y) + -1x * (45 + -1y)) = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -1i2n2s2(2025 + -45y + (45 * -1x + -1y * -1x)) = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -1i2n2s2(2025 + -45y + (-45x + 1xy)) = 0

Reorder the terms:
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -1i2n2s2(2025 + -45x + 1xy + -45y) = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -1i2n2s2(2025 + -45x + 1xy + -45y) = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + (2025 * -1i2n2s2 + -45x * -1i2n2s2 + 1xy * -1i2n2s2 + -45y * -1i2n2s2) = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + (-2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y) = 0

Solving
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = 0

Solving for variable 'c'.

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

Add '2025i2n2s2' to each side of the equation.
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 2025i2n2s2 + 45i2n2s2y = 0 + 2025i2n2s2

Reorder the terms:
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -2025i2n2s2 + 2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = 0 + 2025i2n2s2

Combine like terms: -2025i2n2s2 + 2025i2n2s2 = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + 0 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = 0 + 2025i2n2s2
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = 0 + 2025i2n2s2
Remove the zero:
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = 2025i2n2s2

Add '-45i2n2s2x' to each side of the equation.
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + 45i2n2s2x + -1i2n2s2xy + -45i2n2s2x + 45i2n2s2y = 2025i2n2s2 + -45i2n2s2x

Reorder the terms:
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + 45i2n2s2x + -45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = 2025i2n2s2 + -45i2n2s2x

Combine like terms: 45i2n2s2x + -45i2n2s2x = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + 0 + -1i2n2s2xy + 45i2n2s2y = 2025i2n2s2 + -45i2n2s2x
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -1i2n2s2xy + 45i2n2s2y = 2025i2n2s2 + -45i2n2s2x

Add 'i2n2s2xy' to each side of the equation.
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -1i2n2s2xy + i2n2s2xy + 45i2n2s2y = 2025i2n2s2 + -45i2n2s2x + i2n2s2xy

Combine like terms: -1i2n2s2xy + i2n2s2xy = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + 0 + 45i2n2s2y = 2025i2n2s2 + -45i2n2s2x + i2n2s2xy
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + 45i2n2s2y = 2025i2n2s2 + -45i2n2s2x + i2n2s2xy

Add '-45i2n2s2y' to each side of the equation.
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + 45i2n2s2y + -45i2n2s2y = 2025i2n2s2 + -45i2n2s2x + i2n2s2xy + -45i2n2s2y

Combine like terms: 45i2n2s2y + -45i2n2s2y = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + 0 = 2025i2n2s2 + -45i2n2s2x + i2n2s2xy + -45i2n2s2y
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y = 2025i2n2s2 + -45i2n2s2x + i2n2s2xy + -45i2n2s2y

Reorder the terms:
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = 2025i2n2s2 + -2025i2n2s2 + -45i2n2s2x + 45i2n2s2x + i2n2s2xy + -1i2n2s2xy + -45i2n2s2y + 45i2n2s2y

Combine like terms: 2025i2n2s2 + -2025i2n2s2 = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = 0 + -45i2n2s2x + 45i2n2s2x + i2n2s2xy + -1i2n2s2xy + -45i2n2s2y + 45i2n2s2y
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = -45i2n2s2x + 45i2n2s2x + i2n2s2xy + -1i2n2s2xy + -45i2n2s2y + 45i2n2s2y

Combine like terms: -45i2n2s2x + 45i2n2s2x = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = 0 + i2n2s2xy + -1i2n2s2xy + -45i2n2s2y + 45i2n2s2y
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = i2n2s2xy + -1i2n2s2xy + -45i2n2s2y + 45i2n2s2y

Combine like terms: i2n2s2xy + -1i2n2s2xy = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = 0 + -45i2n2s2y + 45i2n2s2y
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = -45i2n2s2y + 45i2n2s2y

Combine like terms: -45i2n2s2y + 45i2n2s2y = 0
2025c2o2s2 + -45c2o2s2x + 1c2o2s2xy + -45c2o2s2y + -2025i2n2s2 + 45i2n2s2x + -1i2n2s2xy + 45i2n2s2y = 0

Factor out the Greatest Common Factor (GCF), 's2'.
s2(2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + -2025i2n2 + 45i2n2x + -1i2n2xy + 45i2n2y) = 0

Subproblem 1

Set the factor 's2' equal to zero and attempt to solve: Simplifying s2 = 0 Solving s2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1s2' to each side of the equation. s2 + -1s2 = 0 + -1s2 Remove the zero: 0 = -1s2 Simplifying 0 = -1s2 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 '(2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + -2025i2n2 + 45i2n2x + -1i2n2xy + 45i2n2y)' equal to zero and attempt to solve: Simplifying 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + -2025i2n2 + 45i2n2x + -1i2n2xy + 45i2n2y = 0 Solving 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + -2025i2n2 + 45i2n2x + -1i2n2xy + 45i2n2y = 0 Move all terms containing c to the left, all other terms to the right. Add '2025i2n2' to each side of the equation. 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + -2025i2n2 + 45i2n2x + -1i2n2xy + 2025i2n2 + 45i2n2y = 0 + 2025i2n2 Reorder the terms: 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + -2025i2n2 + 2025i2n2 + 45i2n2x + -1i2n2xy + 45i2n2y = 0 + 2025i2n2 Combine like terms: -2025i2n2 + 2025i2n2 = 0 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + 0 + 45i2n2x + -1i2n2xy + 45i2n2y = 0 + 2025i2n2 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + 45i2n2x + -1i2n2xy + 45i2n2y = 0 + 2025i2n2 Remove the zero: 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + 45i2n2x + -1i2n2xy + 45i2n2y = 2025i2n2 Add '-45i2n2x' to each side of the equation. 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + 45i2n2x + -1i2n2xy + -45i2n2x + 45i2n2y = 2025i2n2 + -45i2n2x Reorder the terms: 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + 45i2n2x + -45i2n2x + -1i2n2xy + 45i2n2y = 2025i2n2 + -45i2n2x Combine like terms: 45i2n2x + -45i2n2x = 0 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + 0 + -1i2n2xy + 45i2n2y = 2025i2n2 + -45i2n2x 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + -1i2n2xy + 45i2n2y = 2025i2n2 + -45i2n2x Add 'i2n2xy' to each side of the equation. 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + -1i2n2xy + i2n2xy + 45i2n2y = 2025i2n2 + -45i2n2x + i2n2xy Combine like terms: -1i2n2xy + i2n2xy = 0 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + 0 + 45i2n2y = 2025i2n2 + -45i2n2x + i2n2xy 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + 45i2n2y = 2025i2n2 + -45i2n2x + i2n2xy Add '-45i2n2y' to each side of the equation. 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + 45i2n2y + -45i2n2y = 2025i2n2 + -45i2n2x + i2n2xy + -45i2n2y Combine like terms: 45i2n2y + -45i2n2y = 0 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y + 0 = 2025i2n2 + -45i2n2x + i2n2xy + -45i2n2y 2025c2o2 + -45c2o2x + c2o2xy + -45c2o2y = 2025i2n2 + -45i2n2x + i2n2xy + -45i2n2y 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+(x+8)=38 | | 5(3y)-y=69 | | F(-1)=x^3-1 | | 950=m-180 | | 1996+43w=280 | | x^2+2px(2p+3)=0 | | 6[x+1][x-1]=13x-12 | | cos^2x-sin^2x=2cos^2x-1 | | 3sin(2x)=2cos^2(x) | | 2/-6-8=2 | | x^3-x*3x-2=0 | | 13.99(x-15)=1000 | | 7(12-2)=4(3-2) | | -3h+12=-3h+5 | | 12-3(x-1)=11+x | | 35000+250a=17615+550a | | 17615+550a=74815 | | 2sinx/5cosx | | 35000+250a=74815 | | -6-x=24-3x | | 2-x=-12-3x | | Y=4x^2+8 | | 17615+550a=0 | | 8x^3=12x | | 1=tan(5/2) | | 35000=250a | | x^4-3x^3-2x+81=0 | | 3x+14y=-56 | | 15x-6=10x-21 | | 35000+250a=14 | | 1x-29=13+2x | | 35000+250=14 |

Equations solver categories