What is the general solution for arctan(0.2x)=40 ?

The general solution for arctan(0.2x)=40 is x=(tan(40))/(0.2)

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arctan(0.2x)=40

arctan (0.2 x) = 4 0^{\circ}

x = \frac{tan ( 4 0 ^{\circ} )}{0.2}

Solution steps

arctan (0.2 x) = 4 0^{\circ}

Apply trig inverse properties

arctan (0.2 x) = 4 0^{\circ}

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

0.2 x = tan (4 0^{\circ})

0.2 x = tan (4 0^{\circ})

Solve

0.2 x = tan (4 0^{\circ}) : x = \frac{tan ( 4 0 ^{\circ} )}{0.2}

0.2 x = tan (4 0^{\circ})

Divide both sides by

0.2

0.2 x = tan (4 0^{\circ})

Divide both sides by

0.2

\frac{0.2 x}{0.2} = \frac{tan ( 4 0 ^{\circ} )}{0.2}

Simplify

x = \frac{tan ( 4 0 ^{\circ} )}{0.2}

x = \frac{tan ( 4 0 ^{\circ} )}{0.2}

x = \frac{tan ( 4 0 ^{\circ} )}{0.2}

sin (x) - sin (2 x) + sin (3 x) = 0

sin (x) = \frac{- 2 5}{5}

tan (2 x - 1) = 0

cos^{2} (x) = \frac{( 4 k - 3 )}{8}

3 cos^{2} (x) - 8 cos (x) + 4 = 0

What is the general solution for arctan(0.2x)=40 ?
The general solution for arctan(0.2x)=40 is x=(tan(40))/(0.2)