Solve each equation over the interval [0°, 360°). Write solutions as exact values or to the nearest tenth, as appropriate.
tan θ ―cot θ = 0

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Rewrite the given equation \(\tan \theta - \cot \theta = 0\) by expressing \(\cot \theta\) in terms of \(\tan \theta\). Recall that \(\cot \theta = \frac{1}{\tan \theta}\).

Substitute \(\cot \theta\) with \(\frac{1}{\tan \theta}\) to get the equation \(\tan \theta - \frac{1}{\tan \theta} = 0\).

Multiply both sides of the equation by \(\tan \theta\) (noting that \(\tan \theta \neq 0\)) to eliminate the fraction, resulting in \(\tan^2 \theta - 1 = 0\).

Rewrite the equation as \(\tan^2 \theta = 1\) and then take the square root of both sides to find \(\tan \theta = \pm 1\).

Find all angles \(\theta\) in the interval \([0^\circ, 360^\circ)\) where \(\tan \theta = 1\) or \(\tan \theta = -1\). Use the unit circle or tangent values to identify these angles.

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