Tagging - 2023-12-09

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Martin Sleziak

00:16

in Math Mods' Office, 4 hours ago, by Xander Henderson

@MartinR I just approved it, thereby circumventing the voting process.

Nov 21 at 13:25, by Martin Sleziak

Recently approved tag synonyms: main, meta.

6 hours later…

Martin Sleziak

06:14

The tag inverse-trigonometric-functions now has two questions.

Q: If $\sin^{-1}x+\sin^{-1}y+\sin^{-1}z=2$ then find the value of $(x+y+z)(x-y-z)$

Q): If $\sin^{-1}x+\sin^{-1}y+\sin^{-1}z=2$ then find the value of $(x+y+z)(x-y-z)$. Ans): First of all let me tell everyone that this question is being asked today by the professors of Mathematics of my University. The way by which they solved this question is that they took into consideration $...

Q: Find the range of the function $f(x)=(\sin^{-1}x)^2-(\cot^{-1}x)^2$

Find range of the function:$f(x)=(\sin^{-1}x)^2-(\cot^{-1}x)^2$ The domain of the function is $-1\leq x \leq 1$ $f(-1)=(\sin^{-1}(-1))^2-(\cot^{-1}(-1))^2=\frac{\pi^2}{4}-\frac{9\pi^2}{16}=-\frac{-5\pi^2}{16}$ $f(1)=\frac{\pi^2}{4}-\frac{\pi^2}{16}=\frac{3\pi^2}{16}$ But I am not able to show tha...