Cosine...

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November 28th 2009, 02:44 PM
fizz

Cosine...

If $cos^{-1}(x)+cos^{-1}(y)=\frac{\pi}{2}$ ,
show that $x^2+y^2=1$

Haha, help please?
November 28th 2009, 04:05 PM
apcalculus

Quote:

Originally Posted by fizz

If $cos^{-1}(x)+cos^{-1}(y)=\frac{\pi}{2}$ ,
show that $x^2+y^2=1$

Haha, help please?

Let
$cos^{-1}(x) = m$
$cos^{-1}(y) = n$

So we have:
$m + n = \frac{\pi}{2}$

Also, from above, we have:

$x= \cos m$
$y= \cos n$

Can you finish the rest?

Good luck!

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