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cos^(-1)(cos((7pi)/6))is equal to (A) (7...

`cos^(-1)(cos((7pi)/6))`is equal to (A) `(7pi)/6` (B) `(5pi)/6` (C) `pi/3` (D) `pi/6`

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To solve the problem \( \cos^{-1}(\cos(\frac{7\pi}{6})) \), we will follow these steps: ### Step 1: Identify the angle The angle given is \( \frac{7\pi}{6} \). This angle is in the third quadrant where the cosine value is negative. ### Step 2: Understand the range of the inverse cosine function The range of the function \( \cos^{-1}(x) \) is from \( 0 \) to \( \pi \). This means that any output from the \( \cos^{-1} \) function must lie within this interval. ...
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