What is the general solution for tan(2θ)=2.93 ?

The general solution for tan(2θ)=2.93 is θ=(1.24189…)/2+(pin)/2

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tan(2θ)=2.93

tan (2 θ) = 2.93

θ = \frac{1.24189 \dots}{2} + \frac{πn}{2}

Solution steps

tan (2 θ) = 2.93

Apply trig inverse properties

2 θ = arctan (2.93) + πn

Solve

2 θ = arctan (2.93) + πn : θ = \frac{arctan ( 2.93 )}{2} + \frac{πn}{2}

θ = \frac{arctan ( 2.93 )}{2} + \frac{πn}{2}

Show solutions in decimal form

θ = \frac{1.24189 \dots}{2} + \frac{πn}{2}

cot (θ + 1) csc (θ - 1) = 0

sin (a) = 0.9455

x, \frac{sin ( x )}{5} = \frac{sin ( 12 5 ^{\circ} )}{20}

2 - 2 sin^{2} (x) = 0

sin (x) = \frac{2.5}{3}

What is the general solution for tan(2θ)=2.93 ?
The general solution for tan(2θ)=2.93 is θ=(1.24189…)/2+(pin)/2