What is the general solution for tan(θ)=6 ?

The general solution for tan(θ)=6 is θ=1.40564…+pin

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tan(θ)=6

tan (θ) = 6

θ = 1.40564 \dots + πn

Degrees

θ = 80.53767 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = 6

Apply trig inverse properties

tan (θ) = 6

General solutions for

tan (θ) = 6

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

θ = arctan (6) + πn

θ = arctan (6) + πn

Show solutions in decimal form

θ = 1.40564 \dots + πn

sin (4 x) = \frac{1}{2}

cos (x) - sin (x) = 0, 0 \leq x < 2 π

x, y = sin (\frac{π x}{2})

5 sin (x) - 5 cos (x) = 2

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

What is the general solution for tan(θ)=6 ?
The general solution for tan(θ)=6 is θ=1.40564…+pin