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Trig Inverses

Trig Inverses. Wikispace Final Project. y= csc (x). Opposite of y=sin(x ) To graph: 1.)First graph the function as sine. 2.) Draw asymptotes where it crosses the x-axis. 3.) Graph the opposite of sine by drawing a flipped parabola at the graphs amplitude. EXAMPLE: .

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Trig Inverses

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  1. Trig Inverses Wikispace Final Project

  2. y=csc(x) • Opposite of y=sin(x) • To graph: 1.)First graph the function as sine. 2.) Draw asymptotes where it crosses the x-axis. 3.) Graph the opposite of sine by drawing a flipped parabola at the graphs amplitude. • EXAMPLE: *Purple parabolas represent the csc(x)* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Umberger/EMAT6690smu/Day6/Resources/cosecant.gif

  3. y=sec(x) • Opposite of y=cos(x) • To graph: 1.) First graph the function as cosine 2.) Draw asymptotes where it would or does cross the x-axis. 3.) Since it is split into three parts due to the asymptotes: the first and third section; draw lines leading towards the asymptotes. For the middle section draw a parabola opposite of the point of its amplitude. • EXAMPLE: Section 1 Section 3 Section 2 http://fouss.pbwiki.com/f/sec%20x.jpg

  4. y=cot(x) • Opposite of y=tan(x) • Best drawn alone without the help of its opposite [y=(tan)x]. • Asymptote at 0 and π (changes depending on the extent of the problem) • To graph: Put midpoint of the function in between the two asymptotes, then flip the graph opposite of what it would be if it were tangent. • EXAMPLE: The graph is the same shape as tan(x), but it is reversed http://www.intmath.com/Trigonometric-graphs/cotx.gif

  5. Similarities/ Differences • Similarities • All flipped • All have asymptotes • All are forms of Trig Functions • Differences • For Cosecant and Secant: Graph Sine and Cosine first, then draw its function • For Cotangent: Best to memorize both the funtion of tan(x) and cot(x)

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