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

 

14 sin^2(x) = 7

 

I got pi / 4 and 3pi / 4

 Jan 23, 2019
edited by Ruublrr  Jan 23, 2019
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sin^2 x = 7/14 = 1/2

sin x = +- sqrt2/2          x=   pi/4  3pi/4  5pi/4  7pi/4

 Jan 23, 2019
 #2
avatar+322 
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Thank you. I thought it could only be in the first two quadrants.

Ruublrr  Jan 23, 2019

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