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 December 22nd, 2016, 02:53 PM #1 Newbie   Joined: Dec 2016 From: egypt Posts: 3 Thanks: 0 find the values of sin inverse sqrt 5 Find the values of sin inverse sqrt 5 I'm stuck with this one; please someone help me. Last edited by skipjack; December 24th, 2016 at 05:34 AM. December 22nd, 2016, 03:21 PM #2 Senior Member   Joined: Sep 2015 From: USA Posts: 2,529 Thanks: 1389 what is the range of the sine function? what is the approximate value of $\sqrt{5}$ ? do you see a problem here? unless you mean $\sin\left(\dfrac{1}{\sqrt{5}}\right)$ is that what you mean? December 22nd, 2016, 05:52 PM #3 Global Moderator   Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond $\displaystyle y=\sin^{-1}(\sqrt5)$ $\displaystyle \sin(y)=\sqrt5$ $\displaystyle e^{iy}-e^{-iy}=2i\sqrt5$ $\displaystyle \frac{e^{2iy}-1}{e^{iy}}=2i\sqrt5\Rightarrow e^{2iy}-2i\sqrt5e^{iy}-1=0\implies y=\log(i(\sqrt5\pm2))/i$ $\displaystyle \sin^{-1}(\sqrt5)=\log(i(\sqrt5\pm2))/i+2k\pi,k\in\mathbf{Z}$ December 23rd, 2016, 10:18 AM #4 Newbie   Joined: Dec 2016 From: egypt Posts: 3 Thanks: 0 ty so much Tags find, inverse, sin, sqrt, values Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post hello_math Elementary Math 3 September 18th, 2016 11:43 AM hello_math Elementary Math 1 September 18th, 2016 07:24 AM rain Elementary Math 4 July 24th, 2013 12:18 AM space55 Calculus 0 October 10th, 2010 03:23 PM karel747 Calculus 1 June 1st, 2008 09:54 AM

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