tan(2x-30)=cot(x+27)

Simple and best practice solution for tan(2x-30)=cot(x+27) 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-30)=cot(x+27) equation:


Simplifying
tan(2x + -30) = cot(x + 27)

Reorder the terms:
ant(-30 + 2x) = cot(x + 27)
(-30 * ant + 2x * ant) = cot(x + 27)
(-30ant + 2antx) = cot(x + 27)

Reorder the terms:
-30ant + 2antx = cot(27 + x)
-30ant + 2antx = (27 * cot + x * cot)
-30ant + 2antx = (27cot + cotx)

Solving
-30ant + 2antx = 27cot + cotx

Solving for variable 'a'.

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

Reorder the terms:
-30ant + 2antx + -27cot + -1cotx = 27cot + -27cot + cotx + -1cotx

Combine like terms: 27cot + -27cot = 0
-30ant + 2antx + -27cot + -1cotx = 0 + cotx + -1cotx
-30ant + 2antx + -27cot + -1cotx = cotx + -1cotx

Combine like terms: cotx + -1cotx = 0
-30ant + 2antx + -27cot + -1cotx = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-30an + 2anx + -27co + -1cox) = 0

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing a to the left, all other terms to the right. Add '-1t' to each side of the equation. t + -1t = 0 + -1t Remove the zero: 0 = -1t Simplifying 0 = -1t 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 '(-30an + 2anx + -27co + -1cox)' equal to zero and attempt to solve: Simplifying -30an + 2anx + -27co + -1cox = 0 Solving -30an + 2anx + -27co + -1cox = 0 Move all terms containing a to the left, all other terms to the right. Add '27co' to each side of the equation. -30an + 2anx + -27co + 27co + -1cox = 0 + 27co Combine like terms: -27co + 27co = 0 -30an + 2anx + 0 + -1cox = 0 + 27co -30an + 2anx + -1cox = 0 + 27co Remove the zero: -30an + 2anx + -1cox = 27co Add 'cox' to each side of the equation. -30an + 2anx + -1cox + cox = 27co + cox Combine like terms: -1cox + cox = 0 -30an + 2anx + 0 = 27co + cox -30an + 2anx = 27co + cox 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:

| -5x-44=41 | | 2x+2(6x+4)=106 | | 174=54-12x | | B=14-(-22) | | 65=2x-5(6x+15) | | 1.5+y=13.4 | | as-1=8-2s | | 5+x+17=87 | | 5(x)=y | | 15+4x-12+5(x-5)= | | 0=3x^2-30x+45 | | 1500=-475t+3684 | | 5-12=f | | 26-7x=13+6x | | -2-3=t | | 26-7x=13 | | 14+x+7=100 | | J=6-(-8) | | -63+6x=21 | | 16.2=k-7.4 | | t+10=7t-143 | | y=7x-30 | | -13.9=k-7.5 | | 24x+48=42x-6 | | 6.5=(3.14)x | | 16-7x=296 | | 44b+16+2b=46 | | 0-x=1/3*15+6 | | 6x-3(x-17)=21 | | 16-7x=269 | | .5(-8x+4)-4(x+5)=7(x-3) | | 14.9+y=6.7 |

Equations solver categories