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cot((-15pi)/4)...

`cot((-15pi)/4)`

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To find the value of \( \cot\left(-\frac{15\pi}{4}\right) \), we can follow these steps: ### Step 1: Simplify the angle First, we can simplify the angle \( -\frac{15\pi}{4} \) by adding \( 2\pi \) (which is equivalent to \( \frac{8\pi}{4} \)) repeatedly until the angle is within the range of \( [0, 2\pi) \). \[ -\frac{15\pi}{4} + 2\pi = -\frac{15\pi}{4} + \frac{8\pi}{4} = -\frac{7\pi}{4} \] ...
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