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

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

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

solve for

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

y = arccot (x - tan (x)) + πn

Solution steps

x = cot (y) + tan (x)

Switch sides

cot (y) + tan (x) = x

Move

tan (x)

to the right side

cot (y) + tan (x) = x

Subtract

tan (x)

from both sides

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

Simplify

cot (y) = x - tan (x)

cot (y) = x - tan (x)

Apply trig inverse properties

cot (y) = x - tan (x)

General solutions for

cot (y) = x - tan (x)

cot (x) = a \Rightarrow x = arccot (a) + πn

y = arccot (x - tan (x)) + πn

y = arccot (x - tan (x)) + πn

sin (θ) - 0.2 cos (θ) = \frac{8.54}{9.8}

cos (w π) = 0

2 tan (x) + sec^{2} (x) = 0, - 9 0^{\circ} < x < 9 0^{\circ}

tan (6 0^{\circ} - θ) = \frac{1}{3}

x, 1 - 2 cos (x) = 0

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