What is the general solution for arctan(x)=(85)/((150/2-(65/4))) ?

The general solution for arctan(x)=(85)/((150/2-(65/4))) is x=tan(68/47)

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arctan(x)=(85)/((150/2-(65/4)))

arctan (x) = \frac{85}{( \frac{150}{2} - ( \frac{65}{4} ) )}

x = tan (\frac{68}{47})

Solution steps

arctan (x) = \frac{85}{( \frac{150}{2} - ( \frac{65}{4} ) )}

Simplify

\frac{85}{\frac{150}{2} - \frac{65}{4}} : \frac{68}{47}

Apply trig inverse properties

x = tan (\frac{68}{47})

4 cos^{2} (2 x) = 3

- 2 sin (x) = 1

sec (x) cot (x) = - 2

sin^{2} (x) = \frac{( 4 m - 9 )}{8}

- csc (x) = 1

What is the general solution for arctan(x)=(85)/((150/2-(65/4))) ?
The general solution for arctan(x)=(85)/((150/2-(65/4))) is x=tan(68/47)