What is the general solution for 1/(tan(x))=-1 ?

The general solution for 1/(tan(x))=-1 is x=(3pi)/4+pin

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1/(tan(x))=-1

\frac{1}{tan ( x )} = - 1

x = \frac{3 π}{4} + πn

Solution steps

\frac{1}{tan ( x )} = - 1

Multiply both sides by

tan (x)

1 = - tan (x)

Move

tan (x)

to the left side

1 + tan (x) = 0

Move

1

to the right side

tan (x) = - 1

Verify Solutions

Find undefined (singularity) points:

tan (x) = 0

Combine undefined points with solutions:

tan (x) = - 1

General solutions for

tan (x) = - 1

x = \frac{3 π}{4} + πn

64 cosh^{4} (x) - 64 cosh^{2} (x) - 9 = 0

1 + cos (θ) = 1

tan (2 θ) = 0.4

csc (\frac{θ}{2}) = sin (\frac{θ}{2})

sin (3 x) = - 1, 0 \leq x \leq 2 π

What is the general solution for 1/(tan(x))=-1 ?
The general solution for 1/(tan(x))=-1 is x=(3pi)/4+pin