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Write the value of cos^(-1)(-1/2)+2sin^(...

Write the value of `cos^(-1)(-1/2)+2sin^(-1)(1/2)`

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To solve the expression \( \cos^{-1}(-\frac{1}{2}) + 2\sin^{-1}(\frac{1}{2}) \), we can break it down step by step. ### Step 1: Calculate \( \cos^{-1}(-\frac{1}{2}) \) The value of \( \cos^{-1}(-\frac{1}{2}) \) corresponds to the angle whose cosine is \(-\frac{1}{2}\). This angle is found in the second quadrant. \[ \cos^{-1}(-\frac{1}{2}) = \frac{2\pi}{3} \quad \text{(or 120 degrees)} ...
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