What is the general solution for tan(2θ)=2.4 ?

The general solution for tan(2θ)=2.4 is θ=(1.17600…)/2+(pin)/2

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tan(2θ)=2.4

tan (2 θ) = 2.4

θ = \frac{1.17600 \dots}{2} + \frac{πn}{2}

Solution steps

tan (2 θ) = 2.4

Apply trig inverse properties

2 θ = arctan (2.4) + πn

Solve

2 θ = arctan (2.4) + πn : θ = \frac{arctan ( 2.4 )}{2} + \frac{πn}{2}

θ = \frac{arctan ( 2.4 )}{2} + \frac{πn}{2}

Show solutions in decimal form

θ = \frac{1.17600 \dots}{2} + \frac{πn}{2}

3 sin^{2} (θ) = 2 sin (θ) + 3

\frac{sin ( 18 0 ^{\circ} )}{20} = \frac{sin ( a )}{8}

(sin (x) + cos (x))^{2} = 1^{2}

tan (4 x) = 12

4 csc (B) + 5 = 0

What is the general solution for tan(2θ)=2.4 ?
The general solution for tan(2θ)=2.4 is θ=(1.17600…)/2+(pin)/2