What is the general solution for solvefor y,x=tan(y^2) ?

The general solution for solvefor y,x=tan(y^2) is y=sqrt(arctan(x)+pin),y=-sqrt(arctan(x)+pin)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor y,x=tan(y^2)

solve for

y, x = tan (y^{2})

y = arctan (x) + πn, y = - arctan (x) + πn

Solution steps

x = tan (y^{2})

Switch sides

tan (y^{2}) = x

Apply trig inverse properties

tan (y^{2}) = x

General solutions for

tan (y^{2}) = x

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

y^{2} = arctan (x) + πn

y^{2} = arctan (x) + πn

Solve

y^{2} = arctan (x) + πn : y = arctan (x) + πn, y = - arctan (x) + πn

y^{2} = arctan (x) + πn

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

y = arctan (x) + πn, y = - arctan (x) + πn

y = arctan (x) + πn, y = - arctan (x) + πn

cos^{2} (2 x) + cos (2 x) = 0

sin (x) = - 0.2761

3 arcsin (x) = \frac{π}{2}, x

sin^{2} (θ) - \frac{1}{2} sin (θ) - \frac{1}{2} = 0

tan^{2} (x) - sec (x) + 1 = 0

What is the general solution for solvefor y,x=tan(y^2) ?
The general solution for solvefor y,x=tan(y^2) is y=sqrt(arctan(x)+pin),y=-sqrt(arctan(x)+pin)