Evaluate the sine, cosine, and tangent of each of the following angles without using a calculator: `300^0,-405^0,(7pi)/6,(11pi)/4dot`

Explanation

To evaluate the sine, cosine, and tangent of the angles \(300^\circ\), \(-405^\circ\), \(\frac{7\pi}{6}\), and \(\frac{11\pi}{4}\), we will follow the steps below:

### 1. Evaluate \( \sin 300^\circ \)

**Step 1:** Rewrite \(300^\circ\) in terms of a reference angle.
\[ \sin 300^\circ = \sin(360^\circ - 60^\circ) = -\sin 60^\circ \]
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