What is the general solution for tan(2θ)=2 ?

The general solution for tan(2θ)=2 is θ=(1.10714…)/2+(pin)/2

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tan(2θ)=2

tan (2 θ) = 2

θ = \frac{1.10714 \dots}{2} + \frac{πn}{2}

Solution steps

tan (2 θ) = 2

Apply trig inverse properties

2 θ = arctan (2) + πn

Solve

2 θ = arctan (2) + πn : θ = \frac{arctan ( 2 )}{2} + \frac{πn}{2}

θ = \frac{arctan ( 2 )}{2} + \frac{πn}{2}

Show solutions in decimal form

θ = \frac{1.10714 \dots}{2} + \frac{πn}{2}

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cos (x) (1 + 2 sin (x)) = 0

What is the general solution for tan(2θ)=2 ?
The general solution for tan(2θ)=2 is θ=(1.10714…)/2+(pin)/2