tan(3x+10)=cot(5x)

Simple and best practice solution for tan(3x+10)=cot(5x) 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(3x+10)=cot(5x) equation: 


Simplifying
tan(3x + 10) = cot(5x)

Reorder the terms:
ant(10 + 3x) = cot(5x)
(10 * ant + 3x * ant) = cot(5x)
(10ant + 3antx) = cot(5x)

Remove parenthesis around (5x)
10ant + 3antx = cot * 5x

Reorder the terms for easier multiplication:
10ant + 3antx = 5cot * x

Multiply cot * x
10ant + 3antx = 5cotx

Solving
10ant + 3antx = 5cotx

Solving for variable 'a'.

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

Combine like terms: 5cotx + -5cotx = 0
10ant + 3antx + -5cotx = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(10an + 3anx + -5cox) = 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 '(10an + 3anx + -5cox)' equal to zero and attempt to solve:

Simplifying
10an + 3anx + -5cox = 0

Solving
10an + 3anx + -5cox = 0

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

Add '5cox' to each side of the equation.
10an + 3anx + -5cox + 5cox = 0 + 5cox

Combine like terms: -5cox + 5cox = 0
10an + 3anx + 0 = 0 + 5cox
10an + 3anx = 0 + 5cox
Remove the zero:
10an + 3anx = 5cox

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:

| Tan(X)+2sin(X)=0 | | 8+3(x-1)=1-9(x-2) | | 0.55(f-32)=-62.1 | | 6x+9-x=0 | | 80-5k=2k-40 | | (1)=-x^3+(-x) | | 2(x+7)+3x=2 | | 2(6x-8)-3=12x-19 | | 90+.40x=50+.80x | | 2(6x-8)-3=12x-9 | | 8+5(x-2)=8-9(x-1) | | (x^2)/(0.1-x)=0.11 | | x^3+15x-2=0 | | 5x+18-7=x+6 | | F(x)=6x^3+41x^2-9x-14 | | 36+p-6=6p | | t^-2/3=3 | | .3t+4=19 | | 4x/x^1/3 | | 0.04x+8=200+900x | | 0.04x+8=200x+900 | | 7.3+2.5x=12.4x+1.5 | | 0.04(y-2)+0.14y=0.02y-0.3(20) | | 16+8r+5r-13=15r+10-2r-7 | | 3(w-4)=2(3+w) | | 2x-3/6-x-1/8=3x-5/12 | | 2(-3+6)= | | A(x)=0.75x^2-7x+20 | | 4y=24+105 | | -3(u-6)-4=-3(-6u+6)-9u | | -4(4v-1)+6v=2(v+9) | | 229/45-25/6 |

Equations solver categories