What is the general solution for tan(θ)=(2sqrt(3))/1 ?

The general solution for tan(θ)=(2sqrt(3))/1 is θ=1.28976…+pin

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tan(θ)=(2sqrt(3))/1

tan (θ) = \frac{2 3}{1}

θ = 1.28976 \dots + πn

Degrees

θ = 73.89788 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{2 3}{1}

Apply rule

\frac{a}{1} = a

tan (θ) = 23

Apply trig inverse properties

tan (θ) = 23

General solutions for

tan (θ) = 23

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

θ = arctan (23) + πn

θ = arctan (23) + πn

Show solutions in decimal form

θ = 1.28976 \dots + πn

cos^{2} (x) - cos (x) = 0, x, 0 \leq x \leq 2 π

6 cos^{2} (x) + sin (x) - 4 = 0

2 sin (4 x) - 3 = 0

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

2 cos^{2} (t) + 3 cos (t) - 5 = 0

What is the general solution for tan(θ)=(2sqrt(3))/1 ?
The general solution for tan(θ)=(2sqrt(3))/1 is θ=1.28976…+pin