(tanx-1)(cosx+1)=0

Solution for (tanx-1)(cosx+1)=0 equation:

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

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

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

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

Reorder the terms:
(-1 + -1cosx + (acnostx2 + 1antx)) = 0
(-1 + -1cosx + (acnostx2 + 1antx)) = 0

Reorder the terms:
(-1 + acnostx2 + 1antx + -1cosx) = 0
(-1 + acnostx2 + 1antx + -1cosx) = 0

Solving
-1 + acnostx2 + 1antx + -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 + acnostx2 + 1antx + 1 + -1cosx = 0 + 1

Reorder the terms:
-1 + 1 + acnostx2 + 1antx + -1cosx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + acnostx2 + 1antx + -1cosx = 0 + 1
acnostx2 + 1antx + -1cosx = 0 + 1

Combine like terms: 0 + 1 = 1
acnostx2 + 1antx + -1cosx = 1

Add 'cosx' to each side of the equation.
acnostx2 + 1antx + -1cosx + cosx = 1 + cosx

Combine like terms: -1cosx + cosx = 0
acnostx2 + 1antx + 0 = 1 + cosx
acnostx2 + 1antx = 1 + cosx

Reorder the terms:
-1 + acnostx2 + 1antx + -1cosx = 1 + cosx + -1 + -1cosx

Reorder the terms:
-1 + acnostx2 + 1antx + -1cosx = 1 + -1 + cosx + -1cosx

Combine like terms: 1 + -1 = 0
-1 + acnostx2 + 1antx + -1cosx = 0 + cosx + -1cosx
-1 + acnostx2 + 1antx + -1cosx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1 + acnostx2 + 1antx + -1cosx = 0

The solution to this equation could not be determined.