Coterminal Angles Definition

Coterminal Angles Definition Coterminal angles worksheet deals with problems on coterminal angles. Angles which are drawn in standard position that share a common terminal side are called coterminal angles. It can be positive and negative. In simple words, Coterminal angles are the angles having common terminal side. From the figure we understood that A ray (x-axis) where we start measuring the angles is the initial side. A ray where we stop measuring the angle is the terminal side. The angles 60o, -300o, 780o are all coterminal angles. Example 1: Find a positive and negative coterminal angle for250 degrees. Solution: First add 360 to 250 to get your positive Coterminal angle = 250+360= 610 = Then subtract 360 from 260 to get your negative Coterminal angle. = 265-360= -110 Example 2: Find a positive and negative coterminalangle for9pi. Solution: First add 9pi to 2pi to get your positive coterminal angle. =9pi+2pi=11pi = Then to get your negative coterminal angle, subtract 2pi from 9pi. =9pi-2pi=7pi = this is the negative Coterminal angle. Example 3: Find angles that are coterminal with the angle 400? Solution: To find positive angles that are coterminal with 400, add any multiple of 3600 with 400 = Therefore 400 + 3600 = 4000 = 400 + 7200 = 7600 (360 * 2 = 720) = 4000 and 7600 are two positive coterminal angles. = To find negative angles that are Coterminal with 40 degree, subtract any multiple of 3600 with 400 = Therefore 400 - 3600 = -3200 = 400 - 7200 =- 6800 (360 * 2 = 720) = -3200 and -6800 are two negative coterminal angles. = Likewise we can find any number of positive and negative Coterminal anglesfor 40 degrees.

Exercise Before Tests

Exercise Before Tests High school students annually stress over SAT and ACT test scores. Parents and other figures offer countless little tips to boost students performances. Eat a good breakfast, they say. Get a good nights sleep, they prod. Have a nice cup of coffee, they advise. These are all simple, little tips that could boost a students thought process and generate higher scores. Furthermore, exercising the morning of your big ACT or SAT test could also help increase your score, according to an article in The US News World Report. Exercise releases chemicals in the brain that sharpen ones ability to learn and think quickly. Also, exercising to increase mental processing is more effective if it is done immediately before taking a test. The article cited a study completed at a Naperville school. Students standardized reading skills significantly increased, and their math skills increased by a factor of 20 if they walked or ran for ten minutes before taking a test. Most students take SAT and ACT tests at local high schools. Students could boost performance by getting there early and running a few laps on the schools track or field. Dont be embarrassed; people wont think youre preparing for a test. They will probably assume that youre a student athlete. If youre really concerned with being embarrassed about running before a test, bring a stop watch and make a big ol spectacle about your make believe times. Lace up some fresh, new Nikes, and people will certainly think youre an athlete. Dont worry about being a stinky, sweaty mess either. Just think: you can be Harvards stinky, sweaty mess. Exercising before your test could make you Ivy League stinky and sweaty, which is a lot better than a fresh-smelling state school. Who knows, you might even have cold weather on the morning of your test, and you wont sweat. You dont need to go Richards Simmons style out there before your test. Youre not going to be training for the Olympics or anything like that. But, 10 or 15 quick minutes before your test could genuinely help your performance. Running around your neighborhood before you drive off to your test could help your scores, and you wouldnt have to worry about running at the school. But, the best improvements are caused by running/exercising immediately before the test. If anything, exercising before your test will help you clear your mind and alleviate a lot of the inevitable stress. It could even help you be more relaxed as youre taking the test, which could only improve your performance. Exercising at the site of your big ACT or SAT might seem a little bizarre to you and your fellow test-takers. But, it beats the heck out of underperforming on what could be the most important test that you have taken before.