What is the general solution for tan(θ)= 5/8 ?

The general solution for tan(θ)= 5/8 is θ=0.55859…+pin

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tan(θ)= 5/8

tan (θ) = \frac{5}{8}

θ = 0.55859 \dots + πn

Degrees

θ = 32.00538 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{5}{8}

Apply trig inverse properties

tan (θ) = \frac{5}{8}

General solutions for

tan (θ) = \frac{5}{8}

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

θ = arctan (\frac{5}{8}) + πn

θ = arctan (\frac{5}{8}) + πn

Show solutions in decimal form

θ = 0.55859 \dots + πn

3 cos^{2} (x) = 9 sin (x) + 9

cos^{2} (x) - 2 cos (x) = 3

cos^{2} (x) = sin (x) + sin^{2} (x)

2 sin^{2} (x) = 1, + [0, + 2 π]

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

What is the general solution for tan(θ)= 5/8 ?
The general solution for tan(θ)= 5/8 is θ=0.55859…+pin