
Complex Analysis Complex Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 22nd, 2016, 03:53 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 06:34 AM. 
December 22nd, 2016, 04:21 PM  #2 
Senior Member Joined: Sep 2015 From: CA Posts: 749 Thanks: 398 
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, 06:52 PM  #3 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,385 Thanks: 844 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, 11:18 AM  #4 
Newbie Joined: Dec 2016 From: egypt Posts: 3 Thanks: 0 
ty so much


Tags 
find, inverse, sin, sqrt, values 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
formula to detect direct or inverse related values  hello_math  Elementary Math  3  September 18th, 2016 11:43 AM 
formula for direct or inverse related values  hello_math  Elementary Math  1  September 18th, 2016 07:24 AM 
Not sure how to find domination of sqrt(1arctan(x))  rain  Elementary Math  4  July 24th, 2013 12:18 AM 
find values of ? that correspond to the ? values?  space55  Calculus  0  October 10th, 2010 03:23 PM 
inverse sine values  karel747  Calculus  1  June 1st, 2008 09:54 AM 