What is the general solution for tan(θ)=19 ?

The general solution for tan(θ)=19 is θ=1.51821…+pin

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tan(θ)=19

tan (θ) = 19

θ = 1.51821 \dots + πn

Degrees

θ = 86.98721 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = 19

Apply trig inverse properties

tan (θ) = 19

General solutions for

tan (θ) = 19

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

θ = arctan (19) + πn

θ = arctan (19) + πn

Show solutions in decimal form

θ = 1.51821 \dots + πn

5 tan (x) sin (x) = 6 sin (x)

2 tan^{3} (x) - 6 tan (x) = 0

cos (4 x) (2 cos (x) + 1) = 0

cos (3 x) - 1 = 0

sec^{2} (x) + tan^{2} (x) - 3 = 0

What is the general solution for tan(θ)=19 ?
The general solution for tan(θ)=19 is θ=1.51821…+pin