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

The general solution for solvefor x,tan(x)+tan(y)=1 is x=arctan(1-tan(y))+pin

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solvefor x,tan(x)+tan(y)=1

solve for

x, tan (x) + tan (y) = 1

x = arctan (1 - tan (y)) + πn

Solution steps

tan (x) + tan (y) = 1

Move

tan (y)

to the right side

tan (x) + tan (y) = 1

Subtract

tan (y)

from both sides

tan (x) + tan (y) - tan (y) = 1 - tan (y)

Simplify

tan (x) = 1 - tan (y)

tan (x) = 1 - tan (y)

Apply trig inverse properties

tan (x) = 1 - tan (y)

General solutions for

tan (x) = 1 - tan (y)

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (1 - tan (y)) + πn

x = arctan (1 - tan (y)) + πn

x, 4 cos (x) cos (y) = 3

sin (x) = 0, 57

2 \cdot sin (x) = 1

tan (y) sin^{2} (y) = 3 tan (y)

4 cos (x) - 8 sin (x) cos (x) = 0

What is the general solution for solvefor x,tan(x)+tan(y)=1 ?
The general solution for solvefor x,tan(x)+tan(y)=1 is x=arctan(1-tan(y))+pin