Question

Find all values of x between 0 and $2\pi$ that satisfy the following equation. $\tan x = \sqrt{3}$ x =

          Find all values of x between 0 and $2\pi$ that satisfy the following equation.
$\tan x = \sqrt{3}$
x =
        
Find all values of x between 0 and 2π that satisfy the following equation.
tan x = √(3)
x =

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Introductory and Intermediate Algebra for College Students 4th
Introductory and Intermediate Algebra for College Students 4th
Robert Blitzer 4th Edition
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Find all values of x between 0 and 2pi that satisfy the following equation. tanx=sqrt(3) x= Find all values of x between O and 2T that satisfy the following equation tanx=3 X=
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Transcript

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00:01 Before doing this problem, it's good to make sure that you know that sine square of x plus cosine square of x is always equal to 1.
00:08 So the reason why i'm going to say that is because then i could rewrite sine square of x is equal to 1.
00:15 I could subtract cosine square root of x to the right side.
00:18 So now when we're looking at 2, let me write sine square of x in red and then write everything else out plus 3 cosine of x minus 3.
00:36 It's equal to 0, that i could replace sine square of x with 1 minus cosine squared of x because they're equivalent.
00:44 So i have this 2 in here that i'll need to distribute.
00:51 So as i distribute, i'll get 2 that i can combine with this negative 3...
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