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Find the truth of the statements : \( \sin ^{-1}\left(-\frac{3}{2}\right)+\cos ^{-1}\left(-\frac{3}{2}\right)=\frac{\pi}{2} \). |
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Answer» sin-1\(\left(\cfrac{-3}2\right)\) + cos-1 \(\left(\cfrac{-3}2\right)\) \(\because\) Domain of sin-1 x and cos-1 x is [-1,1] But \(\cfrac{-3}2\) < -1 So, sin-1 \(\left(\cfrac{-3}2\right)\) and cos-1 \(\left(\cfrac{-3}2\right)\) is not be defined Hence, given statement is not valid. |
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