Question

Medals Medals Medals! im trying to find the exact value of each equation, a little help?
1. cot[cot^-1sqrt3/3]
2. sin^-1(cos pi/2)
3. tan(sin^-1x/2)

Answer 1

2. \[-\frac{\pi }{6} \]3.\[\frac{x}{2 \sqrt{1-\frac{x^2}{4}}} \]

Answer 2

okay thank you! i can see that. Do you know anything for one?

Answer 3

Use the fact that \(\cot(\cot^{-1}x)=x\).

Answer 4

alright, i recall that! thank you!

Answer 5

By the way, the second one's not right.
\[\cos\frac{\pi}{2}=0\]
so
\[\sin^{-1}0=0\]

Answer 6

thanks so much for that, really!

Answer 7

2. According to Mathematica v9 and WolframAlpha, and with no delimiters: \[\sin ^{-1}\left(\frac{\cos (\pi )}{2}\right)=-\frac{\pi }{6} \]