What is the general solution for tan(θ)= 5/7 ?

The general solution for tan(θ)= 5/7 is θ=0.62024…+pin

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tan(θ)= 5/7

tan (θ) = \frac{5}{7}

θ = 0.62024 \dots + πn

Degrees

θ = 35.53767 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{5}{7}

Apply trig inverse properties

tan (θ) = \frac{5}{7}

General solutions for

tan (θ) = \frac{5}{7}

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

θ = arctan (\frac{5}{7}) + πn

θ = arctan (\frac{5}{7}) + πn

Show solutions in decimal form

θ = 0.62024 \dots + πn

(cot (x) - 1) (3 tan (x) + 1) = 0

cos (2 θ - \frac{π}{2}) = \frac{2}{2}

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

cos (x) = \frac{7}{9}

2 csc (x) + 3 = 0

What is the general solution for tan(θ)= 5/7 ?
The general solution for tan(θ)= 5/7 is θ=0.62024…+pin