What is the general solution for arctan(0.5)-arctan(1/3)=arctan(x) ?

The general solution for arctan(0.5)-arctan(1/3)=arctan(x) is x= 1/7

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arctan(0.5)-arctan(1/3)=arctan(x)

arctan (0.5) - arctan (\frac{1}{3}) = arctan (x)

x = \frac{1}{7}

Solution steps

arctan (0.5) - arctan (\frac{1}{3}) = arctan (x)

arctan (0.5) = arctan (\frac{1}{2})

arctan (\frac{1}{2}) - arctan (\frac{1}{3}) = arctan (x)

Switch sides

arctan (x) = arctan (\frac{1}{2}) - arctan (\frac{1}{3})

Apply trig inverse properties

x = \frac{1}{7}

arctan (x) = 3 0^{\circ}

x, - cos (x) + \frac{1}{y} = c

cos^{2} (x) - 3 sin (x) - 2 = 0

x, \frac{cos ( x )}{t a g} = \frac{3}{2}

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

What is the general solution for arctan(0.5)-arctan(1/3)=arctan(x) ?
The general solution for arctan(0.5)-arctan(1/3)=arctan(x) is x= 1/7