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Find all values of x in the interval [0, 2π] that satisfy the equation. 

 

14 sin^2(x) = 7

 Jan 23, 2019
edited by Ruublrr  Jan 23, 2019
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14sin (2x)  =  7       divide both sides by   14

 

sin (2x) =  7/14

 

sin (2x) = 1 / 2

 

So...

 

sin  (2x) = 1/2  at     pi/6 ,  5pi / 6   , 13 pi / 6  , 17 pi / 6      divide both sides by 2

 

x =  pi /12   ,  5pi/12, 13 pi / 12   and 17pi /12

 

 

cool cool cool

 Jan 23, 2019

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