What is the general solution for solvefor t,x=-3cos(pit) ?

The general solution for solvefor t,x=-3cos(pit) is t=(arccos(-x/3))/pi+2n,t=-(arccos(-x/3))/pi+2n

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor t,x=-3cos(pit)

solve for

t, x = - 3 cos (π t)

t = \frac{arccos ( - \frac{x}{3} )}{π} + 2 n, t = - \frac{arccos ( - \frac{x}{3} )}{π} + 2 n

Solution steps

x = - 3 cos (π t)

Switch sides

- 3 cos (π t) = x

Divide both sides by

- 3

cos (π t) = - \frac{x}{3}

Apply trig inverse properties

π t = arccos (- \frac{x}{3}) + 2 πn, π t = - arccos (- \frac{x}{3}) + 2 πn

Solve

π t = arccos (- \frac{x}{3}) + 2 πn : t = \frac{arccos ( - \frac{x}{3} )}{π} + 2 n

Solve

π t = - arccos (- \frac{x}{3}) + 2 πn : t = - \frac{arccos ( - \frac{x}{3} )}{π} + 2 n

t = \frac{arccos ( - \frac{x}{3} )}{π} + 2 n, t = - \frac{arccos ( - \frac{x}{3} )}{π} + 2 n

\frac{- 1}{2} = cos (x)

cos (2 t) - sin (t) = 0.5, 0 \leq t \leq 2 π

sin (2 x) = 0.1

sin (\frac{π}{2} - x) tan (x) = cos (x)

sin (x) = \frac{3}{2}, 0 \leq x \leq 2 π

What is the general solution for solvefor t,x=-3cos(pit) ?
The general solution for solvefor t,x=-3cos(pit) is t=(arccos(-x/3))/pi+2n,t=-(arccos(-x/3))/pi+2n