(Tanx-1)(cosx-1)=0

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Solution for (Tanx-1)(cosx-1)=0 equation:


Simplifying
(Tanx + -1)(cosx + -1) = 0

Reorder the terms:
(-1 + anxT)(cosx + -1) = 0

Reorder the terms:
(-1 + anxT)(-1 + cosx) = 0

Multiply (-1 + anxT) * (-1 + cosx)
(-1(-1 + cosx) + anxT(-1 + cosx)) = 0
((-1 * -1 + cosx * -1) + anxT(-1 + cosx)) = 0
((1 + -1cosx) + anxT(-1 + cosx)) = 0
(1 + -1cosx + (-1 * anxT + cosx * anxT)) = 0

Reorder the terms:
(1 + -1cosx + (acnosx2T + -1anxT)) = 0
(1 + -1cosx + (acnosx2T + -1anxT)) = 0

Reorder the terms:
(1 + acnosx2T + -1anxT + -1cosx) = 0
(1 + acnosx2T + -1anxT + -1cosx) = 0

Solving
1 + acnosx2T + -1anxT + -1cosx = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + acnosx2T + -1anxT + -1 + -1cosx = 0 + -1

Reorder the terms:
1 + -1 + acnosx2T + -1anxT + -1cosx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + acnosx2T + -1anxT + -1cosx = 0 + -1
acnosx2T + -1anxT + -1cosx = 0 + -1

Combine like terms: 0 + -1 = -1
acnosx2T + -1anxT + -1cosx = -1

Add 'cosx' to each side of the equation.
acnosx2T + -1anxT + -1cosx + cosx = -1 + cosx

Combine like terms: -1cosx + cosx = 0
acnosx2T + -1anxT + 0 = -1 + cosx
acnosx2T + -1anxT = -1 + cosx

Reorder the terms:
1 + acnosx2T + -1anxT + -1cosx = -1 + cosx + 1 + -1cosx

Reorder the terms:
1 + acnosx2T + -1anxT + -1cosx = -1 + 1 + cosx + -1cosx

Combine like terms: -1 + 1 = 0
1 + acnosx2T + -1anxT + -1cosx = 0 + cosx + -1cosx
1 + acnosx2T + -1anxT + -1cosx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
1 + acnosx2T + -1anxT + -1cosx = 0

The solution to this equation could not be determined.

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