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Convert (i) tan^(-1)3, (ii) sin^(-1)(-1/...

Convert (i) `tan^(-1)3,` (ii) `sin^(-1)(-1//3)` in terms of cosine inverse.

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To convert \( \tan^{-1}(3) \) and \( \sin^{-1}\left(-\frac{1}{3}\right) \) into terms of cosine inverse, we can follow these steps: ### Step 1: Convert \( \tan^{-1}(3) \) Let \( \theta = \tan^{-1}(3) \). By definition, this means: \[ \tan(\theta) = 3 = \frac{\text{opposite}}{\text{adjacent}} = \frac{3}{1} ...
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