What is the general solution for tan(θ)= 4/7 ?

The general solution for tan(θ)= 4/7 is θ=0.51914…+pin

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tan(θ)= 4/7

tan (θ) = \frac{4}{7}

θ = 0.51914 \dots + πn

Degrees

θ = 29.74488 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{4}{7}

Apply trig inverse properties

tan (θ) = \frac{4}{7}

General solutions for

tan (θ) = \frac{4}{7}

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

θ = arctan (\frac{4}{7}) + πn

θ = arctan (\frac{4}{7}) + πn

Show solutions in decimal form

θ = 0.51914 \dots + πn

tan (θ) = \frac{4}{8}

4 cos (x) + 23 sin (x) = 3

cos (2 θ) = 2 - cos (2 θ)

7 tan (x) cos (x) = 2 cos (x)

sin (4 θ) = - \frac{3}{2}

What is the general solution for tan(θ)= 4/7 ?
The general solution for tan(θ)= 4/7 is θ=0.51914…+pin