tag:blogger.com,1999:blog-17480875.post7727510320833494472..comments2014-10-29T08:43:10.445-04:00Comments on College Football Blog: MZone Speculative Fiction: The Tale of Two Coaching PossibilitiesYosthttp://www.blogger.com/profile/09715437509940349084noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-17480875.post-16786233463105723172010-12-09T18:04:50.131-05:002010-12-09T18:04:50.131-05:00Phil, you forgot to take the integral of sin θ. Ge...Phil, you forgot to take the integral of sin θ. Geesh!bigGexpresshttp://www.blogger.com/profile/04044740600156826788noreply@blogger.comtag:blogger.com,1999:blog-17480875.post-14856183374900700672010-12-09T15:58:40.755-05:002010-12-09T15:58:40.755-05:00Speaking of "gone."Speaking of "gone."whetstonebuckhttp://www.blogger.com/profile/13855497571093157762noreply@blogger.comtag:blogger.com,1999:blog-17480875.post-87305823281991085212010-12-09T15:09:52.194-05:002010-12-09T15:09:52.194-05:00Yost, we need to study the science behind your pos...Yost, we need to study the science behind your possibilities and run your ideas up a flagpole and sees who salutes:<br /><br />Possibilities -Indirect measurement.<br /><br />To measure the height h of a flagpole, we could measure a distance of, say, 100 feet from its base. From that point P, we could then measure the angle required to sight the top . If that angle (called the angle of elevation) turned out to be 37°, then<br /><br />so that h <br />100 = tan 37° <br />so that <br />so that h = 100 × tan 37°. <br /><br />From the Table, we find<br /><br />tan 37° = .754<br /><br />Therefore, on multiplying by 100,<br /><br />h = 75.4 feet.<br /><br />All functions from one function<br /><br />If we know the value of any one trigonometric function, then -- with the aid of the Pythagorean theorem -- we can find the rest.<br /><br /> Example 1. In a right triangle, sin θ = 5 <br />13 . Sketch the triangle, place <br /><br />the ratio numbers, and evaluate the remaining functions of θ.<br /><br />To find the unknown side x, we have<br /><br />x² + 5² = 13²<br /><br />x² = 169 − 25 = 144.<br /><br />Therefore,<br /><br />x = = 12.<br /><br />(Lesson 26 of Algebra.)<br /><br />We can now evaluate all six functions of θ:<br /><br />sin θ = 5 <br />13 csc θ = 13<br /> 5 <br />cos θ = 12<br />13 sec θ = 13<br />12 <br />tan θ = 5 <br />12 cot θ = 12<br /> 5 <br /><br />Wait, what was the question?philhttp://www.blogger.com/profile/16976466398567593591noreply@blogger.comtag:blogger.com,1999:blog-17480875.post-91547124840866553102010-12-09T09:50:03.415-05:002010-12-09T09:50:03.415-05:00LOL, Whet!LOL, Whet!Yosthttp://www.blogger.com/profile/09715437509940349084noreply@blogger.comtag:blogger.com,1999:blog-17480875.post-1999701372723195572010-12-09T08:37:11.764-05:002010-12-09T08:37:11.764-05:00When asked about the tragedy, Whetstonebuck stated...When asked about the tragedy, Whetstonebuck stated, "Well, the edge was closer than we all thought. One minute, Yost was there, and the next...he, he was just gone!"whetstonebuckhttp://www.blogger.com/profile/13855497571093157762noreply@blogger.com