Discussion
tan (315°) cot (-405°) =
Answer: B
The value is 1.
\(\tan 315^{\circ} = \tan(360^{\circ} - 45^{\circ}) = -1\). Cotangent is odd, so \(\cot(-405^{\circ}) = -\cot 405^{\circ} = -\cot 45^{\circ} = -1\). The product is \((-1)(-1) = 1\).
−1 comes from losing one of the two signs, and the fractional values come from using sines or cosines of 30° or 45° instead.
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