What is the general solution for tan(θ)=(sqrt(7))/3 ?

The general solution for tan(θ)=(sqrt(7))/3 is θ=0.72273…+pin

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tan(θ)=(sqrt(7))/3

tan (θ) = \frac{7}{3}

θ = 0.72273 \dots + πn

Degrees

θ = 41.40962 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{7}{3}

Apply trig inverse properties

tan (θ) = \frac{7}{3}

General solutions for

tan (θ) = \frac{7}{3}

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

θ = arctan (\frac{7}{3}) + πn

θ = arctan (\frac{7}{3}) + πn

Show solutions in decimal form

θ = 0.72273 \dots + πn

sin (4 θ) - sin (2 θ) = 0

tan (x) sin (x) - tan (x) = 0

cos^{2} (θ) - 7 cos (θ) + 12 = 0

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

csc^{2} (θ) - csc (θ) - 20 = 0

What is the general solution for tan(θ)=(sqrt(7))/3 ?
The general solution for tan(θ)=(sqrt(7))/3 is θ=0.72273…+pin