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Solve these equations graphically on the interval [0, 2π]. Sketch the graph and list...

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atrinity | Honors

Posted April 19, 2013 at 10:47 PM via web

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Solve these equations graphically on the interval [0, 2π]. Sketch the graph and list the solutions.


sin(2x) – 1 = tan x

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted April 20, 2013 at 1:19 AM (Answer #1)

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We graph the two functions: y=sin(2x)-1 in black and tan(x) in red and note the intersections on the interval `[0,2pi]` :

The intersections (from a graphing utility) are approximately :

`x~~2.0687813` and `x~~5.210374`

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