Tan(2x+18)=cot(4x-12)

Simple and best practice solution for Tan(2x+18)=cot(4x-12) 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 Tan(2x+18)=cot(4x-12) equation: 


Simplifying
Tan(2x + 18) = cot(4x + -12)

Reorder the terms:
anT(18 + 2x) = cot(4x + -12)
(18 * anT + 2x * anT) = cot(4x + -12)
(18anT + 2anxT) = cot(4x + -12)

Reorder the terms:
18anT + 2anxT = cot(-12 + 4x)
18anT + 2anxT = (-12 * cot + 4x * cot)
18anT + 2anxT = (-12cot + 4cotx)

Solving
18anT + 2anxT = -12cot + 4cotx

Solving for variable 'a'.

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

Reorder the terms:
18anT + 2anxT + 12cot + -4cotx = -12cot + 12cot + 4cotx + -4cotx

Combine like terms: -12cot + 12cot = 0
18anT + 2anxT + 12cot + -4cotx = 0 + 4cotx + -4cotx
18anT + 2anxT + 12cot + -4cotx = 4cotx + -4cotx

Combine like terms: 4cotx + -4cotx = 0
18anT + 2anxT + 12cot + -4cotx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9anT + anxT + 6cot + -2cotx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9anT + anxT + 6cot + -2cotx)' equal to zero and attempt to solve:

Simplifying
9anT + anxT + 6cot + -2cotx = 0

Solving
9anT + anxT + 6cot + -2cotx = 0

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

Add '-6cot' to each side of the equation.
9anT + anxT + 6cot + -6cot + -2cotx = 0 + -6cot

Combine like terms: 6cot + -6cot = 0
9anT + anxT + 0 + -2cotx = 0 + -6cot
9anT + anxT + -2cotx = 0 + -6cot
Remove the zero:
9anT + anxT + -2cotx = -6cot

Add '2cotx' to each side of the equation.
9anT + anxT + -2cotx + 2cotx = -6cot + 2cotx

Combine like terms: -2cotx + 2cotx = 0
9anT + anxT + 0 = -6cot + 2cotx
9anT + anxT = -6cot + 2cotx

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+7)+(2x+14)=90 | | 4w^3+3w^2-24w-18=0 | | 56=6a-7k | | -14g=-17g+9 | | (7+2x)6=12+7x | | 1300=0.35x | | 2x+b=6 | | (7+2x)6=7+12x | | 5x-2=2x-20 | | 13=w/=-18 | | 8+15m-3=8m+38-4m | | 15(t-5)+3t=6(3t+5)-9 | | 2k^3+3k^2-6k-9=0 | | 4x^2+X^2+8=0 | | -4-7x=7 | | -14=-2+4x | | 75x+45y=1200 | | 75x+45y=1020 | | (4x-2)=(7x-19) | | -3x^2+18x+27=0 | | 11(2g-8)=-4(7-3q) | | 5(f-4)=-45 | | 4x+2=9x+27 | | 3x+2yi-y+xi=7i | | 12y=3x+3 | | 15x+16=15x-16 | | 6g+7(g-2)=11g+2g-5 | | 2(1l+5)=54 | | 6(x-4)=-2(3-x) | | x+3i(4-1)=7-5i | | 2(a-7)=20 | | 4(n-1)=3(4+n) |

Equations solver categories