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

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

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solvefor t,x=rcos(t)

solve for

t, x = r cos (t)

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

Solution steps

x = r cos (t)

Switch sides

r cos (t) = x

Divide both sides by

r; r \neq = 0

cos (t) = \frac{x}{r}; r \neq = 0

Apply trig inverse properties

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

0 = 2 sin (θ) + 3

8 sec^{2} (x) - 8 sec (x) = 16

50 = 36 sin (\frac{2 π}{365} (t - 101)) + 14

\frac{sin ( x ^{\circ} )}{53} = \frac{sin ( 7 6 ^{\circ} )}{50}

sec (θ) + tan (θ) = 1

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