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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions1 Mark
Question
Write the value of the expression $\tan\Big(\frac{\sin^{-1}\text{x}+\cos^{-1}\text{x}}{2}\Big),$ when $\text{x}=\frac{\sqrt3}{2}$
✓

Answer

$\tan\Big(\frac{\sin^{-1}\text{x}+\cos^{-1}\text{x}}{2}\Big)=\tan\Big(\frac{\pi}{4}\Big)$ $\big[\because\ \sin^{-1}\text{x}+\cos^{-1}\text{x}=\frac{\pi}{2}\big]$
$=1$

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