What is the general solution for tan(θ)= 4/2 ?

The general solution for tan(θ)= 4/2 is θ=1.10714…+pin

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tan(θ)= 4/2

tan (θ) = \frac{4}{2}

θ = 1.10714 \dots + πn

Degrees

θ = 63.43494 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

tan (θ) = 2

Apply trig inverse properties

tan (θ) = 2

General solutions for

tan (θ) = 2

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

θ = arctan (2) + πn

θ = arctan (2) + πn

Show solutions in decimal form

θ = 1.10714 \dots + πn

e^{s i n (x)} - e^{- s i n (x)} = 2

cos (x) \cdot sec (x) \cdot cot^{2} (x) = csc^{2} (x)

2 sin (3 x) + 2 sin (x) = 0

(cos (x) - 1) (3 cot (x) + 1) = 0

4 cot (x) = 3 csc (x)

What is the general solution for tan(θ)= 4/2 ?
The general solution for tan(θ)= 4/2 is θ=1.10714…+pin