What is the general solution for solvefor y,x=4sec(y) ?

The general solution for solvefor y,x=4sec(y) is y=arcsec(x/4)+2pin,y=-arcsec(x/4)+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor y,x=4sec(y)

solve for

y, x = 4 sec (y)

y = arcsec (\frac{x}{4}) + 2 πn, y = - arcsec (\frac{x}{4}) + 2 πn

Solution steps

x = 4 sec (y)

Switch sides

4 sec (y) = x

Divide both sides by

4

4 sec (y) = x

Divide both sides by

4

\frac{4 sec ( y )}{4} = \frac{x}{4}

Simplify

sec (y) = \frac{x}{4}

sec (y) = \frac{x}{4}

Apply trig inverse properties

sec (y) = \frac{x}{4}

General solutions for

sec (y) = \frac{x}{4}

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = - arcsec (a) + 2 πn

y = arcsec (\frac{x}{4}) + 2 πn, y = - arcsec (\frac{x}{4}) + 2 πn

y = arcsec (\frac{x}{4}) + 2 πn, y = - arcsec (\frac{x}{4}) + 2 πn

0 = 4 cos (3 θ)

sin (θ) = \frac{3}{5}, sin (2 θ)

x, \frac{1}{6} = cos^{2} (x)

tan (x) + ∣ tan (x) ∣ = 1, - 2 π \leq, x \leq 2 π

2 sin^{2} (x) + 3 sin (x) = 1

What is the general solution for solvefor y,x=4sec(y) ?
The general solution for solvefor y,x=4sec(y) is y=arcsec(x/4)+2pin,y=-arcsec(x/4)+2pin