What is the general solution for 4/3 =tan(θ) ?

The general solution for 4/3 =tan(θ) is θ=0.92729…+pin

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4/3 =tan(θ)

\frac{4}{3} = tan (θ)

θ = 0.92729 \dots + πn

Degrees

θ = 53.13010 \dots^{\circ} + 18 0^{\circ} n

Solution steps

\frac{4}{3} = tan (θ)

Switch sides

tan (θ) = \frac{4}{3}

Apply trig inverse properties

tan (θ) = \frac{4}{3}

General solutions for

tan (θ) = \frac{4}{3}

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

θ = arctan (\frac{4}{3}) + πn

θ = arctan (\frac{4}{3}) + πn

Show solutions in decimal form

θ = 0.92729 \dots + πn

cos^{2} (2 x) = \frac{1 + cos ( 2 x )}{2}

csc^{2} (2 x) - 4 = 0

sin (x) = \frac{3.1}{4.5}

4 (cot (x) - 3) = cot (x) - 3

5 sec (x) = 2 sec (x) + 7

What is the general solution for 4/3 =tan(θ) ?
The general solution for 4/3 =tan(θ) is θ=0.92729…+pin