What is the general solution for tan(θ)= 2/8 ?

The general solution for tan(θ)= 2/8 is θ=0.24497…+pin

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tan(θ)= 2/8

tan (θ) = \frac{2}{8}

θ = 0.24497 \dots + πn

Degrees

θ = 14.03624 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{2}{8}

Cancel the common factor:

2

tan (θ) = \frac{1}{4}

Apply trig inverse properties

tan (θ) = \frac{1}{4}

General solutions for

tan (θ) = \frac{1}{4}

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

θ = arctan (\frac{1}{4}) + πn

θ = arctan (\frac{1}{4}) + πn

Show solutions in decimal form

θ = 0.24497 \dots + πn

4 tan^{2} (x) + 7 tan (x) - 4 = 0, cot (2 x)

tan^{3} (x) = tan^{2} (x), 0 \leq x \leq 2 π

11.75 = 5 sin (\frac{π t}{6} - \frac{7 π}{6}) + 8

0 = - 2 sin (x) - 2 cos (2 x)

- sin (c) + cos (c) + 1 = 0

What is the general solution for tan(θ)= 2/8 ?
The general solution for tan(θ)= 2/8 is θ=0.24497…+pin