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Evaluate the following: cos(2pi)/3cospi/...

Evaluate the following: `cos(2pi)/3cospi/4-sin(2pi)/3sinpi/4`

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To evaluate the expression \( \cos\left(\frac{2\pi}{3}\right) \cos\left(\frac{\pi}{4}\right) - \sin\left(\frac{2\pi}{3}\right) \sin\left(\frac{\pi}{4}\right) \), we can use the cosine of a sum formula: ### Step-by-step Solution: 1. **Identify the formula**: We know from trigonometric identities that: \[ \cos(a + b) = \cos(a)\cos(b) - \sin(a)\sin(b) \] ...
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