What is the general solution for 60*pi/(180)=2arctan(x/(17)) ?

The general solution for 60*pi/(180)=2arctan(x/(17)) is x=(17)/(sqrt(3))

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60*pi/(180)=2arctan(x/(17))

60 \cdot \frac{π}{180} = 2 arctan (\frac{x}{17})

x = \frac{17}{3}

Solution steps

60 \cdot \frac{π}{180} = 2 arctan (\frac{x}{17})

Switch sides

2 arctan (\frac{x}{17}) = 60 \cdot \frac{π}{180}

Divide both sides by

2

arctan (\frac{x}{17}) = \frac{π}{6}

Apply trig inverse properties

\frac{x}{17} = \frac{3}{3}

Solve

\frac{x}{17} = \frac{3}{3} : x = \frac{17}{3}

x = \frac{17}{3}

sin (a) = - \frac{1}{8}, \frac{3 π}{2} \leq a \leq 2 π

3 cos^{2} (x) - 23 cos (x) = sin^{2} (x)

sin (x) + cos (x) = \frac{3}{2}

cos^{2} (x) - sin^{2} (x) - 5 sin (x) = 3

sin (θ) = - \frac{21}{5}

What is the general solution for 60*pi/(180)=2arctan(x/(17)) ?
The general solution for 60*pi/(180)=2arctan(x/(17)) is x=(17)/(sqrt(3))