What is the general solution for tan(θ)= 4/13 ?

The general solution for tan(θ)= 4/13 is θ=0.29849…+pin

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tan(θ)= 4/13

tan (θ) = \frac{4}{13}

θ = 0.29849 \dots + πn

Degrees

θ = 17.10272 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{4}{13}

Apply trig inverse properties

tan (θ) = \frac{4}{13}

General solutions for

tan (θ) = \frac{4}{13}

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

θ = arctan (\frac{4}{13}) + πn

θ = arctan (\frac{4}{13}) + πn

Show solutions in decimal form

θ = 0.29849 \dots + πn

2 cos^{2} (x) - cos (x) - 1 = 0, 0 \leq x \leq 2 π

sin (θ) = - \frac{6}{7}

a sin (θ) = b cos (θ)

- 9 tan^{2} (θ) + 12 tan (θ) - 4 = 0

- 5 cos (x) = 0

What is the general solution for tan(θ)= 4/13 ?
The general solution for tan(θ)= 4/13 is θ=0.29849…+pin