What is the general solution for tan(t)= 2/3 ?

The general solution for tan(t)= 2/3 is t=0.58800…+pin

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tan(t)= 2/3

tan (t) = \frac{2}{3}

t = 0.58800 \dots + πn

Degrees

t = 33.69006 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (t) = \frac{2}{3}

Apply trig inverse properties

tan (t) = \frac{2}{3}

General solutions for

tan (t) = \frac{2}{3}

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

t = arctan (\frac{2}{3}) + πn

t = arctan (\frac{2}{3}) + πn

Show solutions in decimal form

t = 0.58800 \dots + πn

2 sin (x) tan (x) = - tan (x)

cos (2 x) cos (x) - sin (2 x) sin (x) = - \frac{3}{2}

sec (θ) = tan (θ) + cot (θ)

sec^{2} (x) = \frac{4}{3}, 0 \leq x \leq 2 π

3 tan (3 θ) - 1 = 0

What is the general solution for tan(t)= 2/3 ?
The general solution for tan(t)= 2/3 is t=0.58800…+pin