What is the general solution for tan(θ)=((2.5)/(1.5))^{1/3} ?

The general solution for tan(θ)=((2.5)/(1.5))^{1/3} is θ=0.87012…+pin

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tan(θ)=((2.5)/(1.5))^{1/3}

tan (θ) = (\frac{2.5}{1.5})^{\frac{1}{3}}

θ = 0.87012 \dots + πn

Degrees

θ = 49.85462 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = (\frac{2.5}{1.5})^{\frac{1}{3}}

Apply trig inverse properties

tan (θ) = (\frac{2.5}{1.5})^{\frac{1}{3}}

General solutions for

tan (θ) = (\frac{2.5}{1.5})^{\frac{1}{3}}

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

θ = arctan ((\frac{2.5}{1.5})^{\frac{1}{3}}) + πn

θ = arctan ((\frac{2.5}{1.5})^{\frac{1}{3}}) + πn

Show solutions in decimal form

θ = 0.87012 \dots + πn

tan (x) sec^{2} (x) + tan (x) = 3 tan (x)

sin (x) = 0.809

\frac{sin ( x )}{700} = \frac{sin ( 4 5 ^{\circ} )}{497}

25 sin (x) - 1.5 cos (x) = 20

cos (θ) = \frac{1}{2}, 0 \leq θ \leq 4 π

What is the general solution for tan(θ)=((2.5)/(1.5))^{1/3} ?
The general solution for tan(θ)=((2.5)/(1.5))^{1/3} is θ=0.87012…+pin