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

The general solution for tan(θ)=4 is θ=1.32581…+pin

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tan(θ)=4

tan (θ) = 4

θ = 1.32581 \dots + πn

Degrees

θ = 75.96375 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = 4

Apply trig inverse properties

tan (θ) = 4

General solutions for

tan (θ) = 4

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

θ = arctan (4) + πn

θ = arctan (4) + πn

Show solutions in decimal form

θ = 1.32581 \dots + πn

sin^{2} (x) + 2 cos (x) = 2

cos (4 x) = - \frac{2}{2}

tan (x) = 2 sin (x)

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

tan (θ) + 1 = sec (θ)

What is the general solution for tan(θ)=4 ?
The general solution for tan(θ)=4 is θ=1.32581…+pin