cos(x+45)cos(x-45)=.5cos(2x)

Simple and best practice solution for cos(x+45)cos(x-45)=.5cos(2x) 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)=.5cos(2x) equation: 


Simplifying
cos(x + 45) * cos(x + -45) = 0.5cos(2x)

Reorder the terms:
cos(45 + x) * cos(x + -45) = 0.5cos(2x)

Reorder the terms:
cos(45 + x) * cos(-45 + x) = 0.5cos(2x)

Reorder the terms for easier multiplication:
cos * cos(45 + x)(-45 + x) = 0.5cos(2x)

Multiply cos * cos
c2o2s2(45 + x)(-45 + x) = 0.5cos(2x)

Multiply (45 + x) * (-45 + x)
c2o2s2(45(-45 + x) + x(-45 + x)) = 0.5cos(2x)
c2o2s2((-45 * 45 + x * 45) + x(-45 + x)) = 0.5cos(2x)
c2o2s2((-2025 + 45x) + x(-45 + x)) = 0.5cos(2x)
c2o2s2(-2025 + 45x + (-45 * x + x * x)) = 0.5cos(2x)
c2o2s2(-2025 + 45x + (-45x + x2)) = 0.5cos(2x)

Combine like terms: 45x + -45x = 0
c2o2s2(-2025 + 0 + x2) = 0.5cos(2x)
c2o2s2(-2025 + x2) = 0.5cos(2x)
(-2025 * c2o2s2 + x2 * c2o2s2) = 0.5cos(2x)
(-2025c2o2s2 + c2o2s2x2) = 0.5cos(2x)

Remove parenthesis around (2x)
-2025c2o2s2 + c2o2s2x2 = 0.5cos * 2x

Reorder the terms for easier multiplication:
-2025c2o2s2 + c2o2s2x2 = 0.5 * 2cos * x

Multiply 0.5 * 2
-2025c2o2s2 + c2o2s2x2 = 1cos * x

Multiply cos * x
-2025c2o2s2 + c2o2s2x2 = 1cosx

Solving
-2025c2o2s2 + c2o2s2x2 = 1cosx

Solving for variable 'c'.

Reorder the terms:
-1cosx + -2025c2o2s2 + c2o2s2x2 = 1cosx + -1cosx

Combine like terms: 1cosx + -1cosx = 0
-1cosx + -2025c2o2s2 + c2o2s2x2 = 0

Factor out the Greatest Common Factor (GCF), 'cos'.
cos(-1x + -2025cos + cosx2) = 0


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

Simplifying
cos = 0

Solving
cos = 0

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

Simplifying
cos = 0

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 '(-1x + -2025cos + cosx2)' equal to zero and attempt to solve:

Simplifying
-1x + -2025cos + cosx2 = 0

Reorder the terms:
-2025cos + cosx2 + -1x = 0

Solving
-2025cos + cosx2 + -1x = 0

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

Add 'x' to each side of the equation.
-2025cos + cosx2 + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-2025cos + cosx2 + 0 = 0 + x
-2025cos + cosx2 = 0 + x
Remove the zero:
-2025cos + cosx2 = x

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:

| 3+ln(x-4)=4 | | 5y(-y^2+7y-2)= | | (4x-25)=(3x+19) | | (5a^3b)(2ab)= | | (5a^3)(2ab)= | | (2x-28)=86 | | 3q-(8q+20)=6-(9q-3) | | 2x(x^2-6x+3)= | | .55(2-4x)+2x=13 | | -2(3x-1)=-6-1 | | 5(y-3)+1=-2(y-7) | | 1.5(2-4x)+2x=13 | | 2/3(8-1/x)=2 | | 2x+1+4-(x+3)=6 | | 2sinx=1+cosx | | -16+3x=4(-2x+8)-15 | | 7x+23=180 | | 36-5=7b+7 | | -9+4+2(3+-h)+4n= | | X2/x=65 | | 6s+-3(s+7)+-7s+12= | | 4x+91=12-5 | | 2x^4-4x+3=0 | | 14+14b-5b-8-4b+10= | | -8m=.57 | | -16+3x=15x+38 | | 3tanx+2cosx=0 | | -8m=4/7 | | 6x+-8+-5x+-8+-8x= | | 12+5b+2b+-6+-2b= | | y=x^5+2x^4-25x^3-50x^2 | | -3[5-4(x-2)]=5(x-5) |

Equations solver categories