What is the general solution for solvefor x,w=tan(x)(cot(x)+1) ?

The general solution for solvefor x,w=tan(x)(cot(x)+1) is x=arccot(-1/(1-w))+pin

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solvefor x,w=tan(x)(cot(x)+1)

solve for

x, w = tan (x) (cot (x) + 1)

x = arccot (- \frac{1}{1 - w}) + πn

Solution steps

w = tan (x) (cot (x) + 1)

Switch sides

tan (x) (cot (x) + 1) = w

Subtract

w

from both sides

tan (x) (cot (x) + 1) - w = 0

Rewrite using trig identities

\frac{1 + cot ( x )}{cot ( x )} - w = 0

Solve by substitution

cot (x) = - \frac{1}{1 - w}; w \neq = 1

cot (x) = - \frac{1}{1 - w} : x = arccot (- \frac{1}{1 - w}) + πn

Combine all the solutions

x = arccot (- \frac{1}{1 - w}) + πn

y = \frac{2 x - 1}{x + 3}

f (x) = \frac{8}{x ^{2} + x}

f (x) = \frac{sin ( x )}{cos ( x ) - 1}

f (x) = lo g_{x} (x - 3)

f (x) = cos (2 x^{3})

What is the general solution for solvefor x,w=tan(x)(cot(x)+1) ?
The general solution for solvefor x,w=tan(x)(cot(x)+1) is x=arccot(-1/(1-w))+pin