What is the general solution for tan(x)=0.8 ?

The general solution for tan(x)=0.8 is x=0.67474…+pin

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tan(x)=0.8

tan (x) = 0.8

x = 0.67474 \dots + πn

Degrees

x = 38.65980 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = 0.8

Apply trig inverse properties

tan (x) = 0.8

General solutions for

tan (x) = 0.8

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

x = arctan (0.8) + πn

x = arctan (0.8) + πn

Show solutions in decimal form

x = 0.67474 \dots + πn

cos (x - \frac{π}{3}) + cos (x + \frac{π}{3}) = 1

sin (2 θ) = \frac{1}{2}, 0 \leq θ \leq 2 π

sec (x) = - \frac{1}{2}

23 cos (x) sin (x) - cos (x) = 2 cos (x)

sec (θ) = \frac{4}{3}

What is the general solution for tan(x)=0.8 ?
The general solution for tan(x)=0.8 is x=0.67474…+pin