What is the general solution for solvefor t,s=2arctan(t) ?

The general solution for solvefor t,s=2arctan(t) is t=tan(s/2)

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solvefor t,s=2arctan(t)

solvefor

t = tan (\frac{s}{2})

Solution steps

s = 2 arctan (t)

Switch sides

2 arctan (t) = s

Divide both sides by

2

2 arctan (t) = s

Divide both sides by

2

\frac{2 arctan ( t )}{2} = \frac{s}{2}

Simplify

arctan (t) = \frac{s}{2}

arctan (t) = \frac{s}{2}

Apply trig inverse properties

arctan (t) = \frac{s}{2}

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

t = tan (\frac{s}{2})

t = tan (\frac{s}{2})

What is the general solution for solvefor t,s=2arctan(t) ?
The general solution for solvefor t,s=2arctan(t) is t=tan(s/2)