List of trigonometric identities These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity. Notation Angles 1 full circle = 360 degrees = 2 radians = 400 grads. The following table shows the conversions for some common angles: Unless otherwise specified, all angles in this article are assumed to be in radians, but angles ending in a degree symbol (°) are in degrees. Trigonometric functions The primary trigonometric functions are the sine and cosine of an angle. The Sine of an angle is defined in the context of a Right Triangle, as the ratio of the length of the side that is opposite to the angle, divided by the length of the longest side of the triangle (the Hypotenuse ). Inverse functions and Related identities

Neuroscience For Kids The smell of a flower - The memory of a walk in the park - The pain of stepping on a nail. These experiences are made possible by the 3 pounds of tissue in our heads...the BRAIN!! Neuroscience for Kids has been created for all students and teachers who would like to learn about the nervous system. Discover the exciting world of the brain, spinal cord, neurons and the senses. Can't find what you are looking for? Portions of Neuroscience for Kids are available in Spanish, Slovene, Portuguese, Italian, Korean, Japanese, Serbian, Russian, Slovak, Romanian, Polish, Albanian, Czech, Finnish, Estonian, Hungarian, Punjabi, Indonesian, Malay, Norwegian, Ukranian and Turkish. "Neuroscience for Kids" is maintained by Eric H.

SciVee | Making Science Visible 60 Ways RAND Has Made a Difference In 2008, the RAND Corporation celebrated its 60th anniversary. The difference between RAND today and the organization that was created in 1948 is substantial and dramatic. Most notably, we started with one client — the U.S. Air Force. The mix of studies, singular accomplishments, and streams of research and analysis included in this book exemplifies the range and originality of RAND research. RAND's 60 years have been distinguished by an impressive number of prominent, even famous, experts in various fields, including winners of the Nobel Prize in several disciplines. Major breakthroughs usually cannot be seen as such until so much history has passed that lots of other people have long since taken or been given credit. In the early days of RAND, much of our research was not widely available. In assembling this collection, we have enjoyed reflecting on various aspects of our legacy. Michael D.

The blood-brain barrier in a live zebrafish embryo | 2012 Photomicrography Competition Dr. Jennifer Peters’ and Dr. Michael Taylor’s winning image of the blood-brain barrier in a live zebrafish embryo perfectly demonstrates the intersection of art and science that drives the Nikon Small World Competition. The blood-brain barrier plays a critical role in neurological function and disease. Drs. To achieve this image, Peters and Taylor used a maximum intensity projection of a series of images acquired in the z plane. Both Peters and Taylor have more than ten years of imaging experience. Teachers | STEM Education Resource Center Welcome to PBS Teachers STEM Education Resource Center! Science, Technology, Engineering and Math (STEM) Resources for Grades PreK-12 PBS offers all Americans the opportunity to explore new ideas and new worlds related to science, technology, engineering, and mathematics (STEM) learning through television and online content. Explore some of our great STEM offerings for grades PreK-12. NOVA Science Now: The Secret Life of Scientists, "Becoming the Professor". Through many of our award-winning STEM-related television programs – NOVA, NATURE, CYBERCHASE, CURIOUS GEORGE, and SID THE SCIENCE KID – PBS continues to play its historic role as both a standard-bearer and innovator in digital content and professional development guided by research and actively supporting classroom teachers, home educators and childcare providers. The PBS Teachers STEM Education Resource Center is here to introduce you to selected STEM education resources. STEM Education News Additional Resources