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avatar+315 

Solve.

 Mar 10, 2019
 #1
avatar+111394 
+1

2sin^2 x = 1       divide both sides by 2

 

sin^2 x  =  1/2      take both roots

 

sin x = 1 /√2        or   sin x = -1 / √2

 

sin x = 1/√2   at   pi/4  and 3pi/4      on   [0, 2pi ]

 

sinx = -1 / √2  at  5pi/4 and 7pi/4    on [ 0, 2pi ]

 

So.....it appears that this happens  every 90°   after pi/4  or....expressed another way....at

 

pi/4 +  pi/2 * n      where n is an integer

 

cool cool cool

 Mar 10, 2019
 #2
avatar+315 
+1

Thank you!! smiley

Cupcake  Mar 10, 2019

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