Sin x - cos x = 1. How to find x?

Set [math]X=\cos x[/math] and [math]Y=\sin x[/math] so the equation becomes the system of equations [math]\begin{cases} Y-X=1 \\ X^2+Y^2=1 \end{cases}[/math] Solving the first equation for [ma…

Long's Digest   Top Stories For You   Sin x - cos x = 1. How to find x? Enrico Gregorio, Associate professor in Algebra • Answered July 3, 2019 Set [math]X=\cos x[/math] and [math]Y=\sin x[/math] so the equation becomes the system of equations [math]\begin{cases} Y-X=1 \\ X^2+Y^2=1 \end{cases}[/math] Solving the first equation for [math]Y[/math] and substituting yields [math]X^2+(1+X)^2=1[/math] that becomes [math]2X^2+2X=0[/math]. The solutions are [math]X=0[/math] and [math]X=-1[/math], that... Read More » 327.8K 257 13   Do generals and admirals pull rank on each other much, or is the rank more of a formality? Sid Zeller, former LtCol, USMC, Retired • Updated February 19 Do generals and admirals pull rank on each other much, or is the rank more of a formality? I was personally present to witness the four-star Assistant Commandant of the Mari... Read More » 177.1K 886 47   Why did the CCP win the Civil War? Zack Lu, lives in Hong Kong (2009-present) • Answered November 2 It's fairly simple. Put yourself in the shoes of the average KMT solider. The CPC offers you your own plot of farmland. No more landlord, no more rent. The KMT offers you a s... Read More » 21.1K 760 100   See more of what you like and less of what you don't. Tune your digest     How did the Roman aqueducts not have dirty, bug-infested water in them? Ciro Pabon, B.S. Civil Engineering & Highway Engineering, Universidad La Gran Colombia (1984) • Updated July 20 Pick me, pick me! Unlike other answers I know what I am talking about… ;) Actually, I know how to build a modern aqueduct and I also know that Romans (and everybody for centu... Read More » 661.7K 4.5K 169   Should Indonesia, Malaysia, and the Philippines have bridges connected to each other just like in Scandinavia? Stephen Carey, A marine engineer for over 50 years. • Updated July 31 OK, I've done it for you, taken a screenshot of a map. You could have done that yourself and saved yourself some effort. Scandinavia is a collection of countries that has e... Read More » 98.6K 344 20 Read More in Your Feed

Never miss a story. Designed for readers on the go.

This email was sent by Quora (605 Castro Street, Mountain View, CA 94041). If you don't want to receive this type of email in the future, please unsubscribe. https://www.quora.com