What is the general solution for solvefor θ,x=5tan(θ) ?

The general solution for solvefor θ,x=5tan(θ) is θ=arctan(x/5)+pin

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solvefor θ,x=5tan(θ)

solve for

θ, x = 5 tan (θ)

θ = arctan (\frac{x}{5}) + πn

Solution steps

x = 5 tan (θ)

Switch sides

5 tan (θ) = x

Divide both sides by

5

tan (θ) = \frac{x}{5}

Apply trig inverse properties

θ = arctan (\frac{x}{5}) + πn

cos (x) tan (x) cos (x) = 0, 0 \leq x \leq 2 π

3 sin (x) + 5 cos (x) + 5 = 0

2 cot (x) = 2

4 cos^{2} (x) + 2 = 3

- 2 sin (x) - 3 = 0

What is the general solution for solvefor θ,x=5tan(θ) ?
The general solution for solvefor θ,x=5tan(θ) is θ=arctan(x/5)+pin