What is the general solution for tan(x)=0.839 ?

The general solution for tan(x)=0.839 is x=0.69807…+pin

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tan(x)=0.839

tan (x) = 0.839

x = 0.69807 \dots + πn

Degrees

x = 39.99664 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = 0.839

Apply trig inverse properties

tan (x) = 0.839

General solutions for

tan (x) = 0.839

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

x = arctan (0.839) + πn

x = arctan (0.839) + πn

Show solutions in decimal form

x = 0.69807 \dots + πn

sin (\frac{3 ( π - x )}{2}) = 0

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

sin^{2} (θ) = \frac{7}{9}

1 - tan^{2} (θ) = 0

3 - tan (3 θ) = 0

What is the general solution for tan(x)=0.839 ?
The general solution for tan(x)=0.839 is x=0.69807…+pin