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

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

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

solve for

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

y = πn

Degrees

y = 0^{\circ} + 18 0^{\circ} n

Solution steps

x = x (1 + tan (y))

Switch sides

x (1 + tan (y)) = x

Divide both sides by

x; x \neq = 0

x (1 + tan (y)) = x

Divide both sides by

x; x \neq = 0

\frac{x ( 1 + tan ( y ) )}{x} = \frac{x}{x}; x \neq = 0

Simplify

1 + tan (y) = 1; x \neq = 0

1 + tan (y) = 1; x \neq = 0

Move

1

to the right side

1 + tan (y) = 1; x \neq = 0

Subtract

1

from both sides

1 + tan (y) - 1 = 1 - 1; x \neq = 0

Simplify

tan (y) = 0; x \neq = 0

tan (y) = 0; x \neq = 0

General solutions for

tan (y) = 0

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

y = 0 + πn

y = 0 + πn

Solve

y = 0 + πn : y = πn

y = 0 + πn

0 + πn = πn

y = πn

y = πn

- 9 cos^{2} (θ) + sin (θ) + 11 = - sin (θ) + 2

sin (θ) = 1 - 2 cos (θ)

6 sec^{2} (x) - 6 sec (x) = 12

sin (a) = \frac{2}{2}

sin^{2} (x) - cos (x) = 1

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