What is the general solution for solvefor t,x=4cos(t) ?

The general solution for solvefor t,x=4cos(t) is t=arccos(x/4)+2pin,t=-arccos(x/4)+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor t,x=4cos(t)

solve for

t, x = 4 cos (t)

t = arccos (\frac{x}{4}) + 2 πn, t = - arccos (\frac{x}{4}) + 2 πn

Solution steps

x = 4 cos (t)

Switch sides

4 cos (t) = x

Divide both sides by

4

cos (t) = \frac{x}{4}

Apply trig inverse properties

t = arccos (\frac{x}{4}) + 2 πn, t = - arccos (\frac{x}{4}) + 2 πn

2 cos^{3} (θ) - cos (θ) = 0

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

- sin (π x) π = 0

cos^{2} (x) - 3 sin^{2} (x) = 1

sin (\frac{x}{6}) = 0

What is the general solution for solvefor t,x=4cos(t) ?
The general solution for solvefor t,x=4cos(t) is t=arccos(x/4)+2pin,t=-arccos(x/4)+2pin