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sin^2(x) - 1 = 0

What is the sum (in degrees) of the angles x obtained?

 Apr 27, 2016
 #1
avatar+129928 
0

sin^2 (x)  - 1  = 0     factor as a difference of squares

 

(sin(x) + 1)  (sin(x) - 1)   = 0      set both factors to 0   and we have

 

sin(x) + 1  = 0    subtract 1 from both sides

 

sin(x)  = -1      and this happens at 270°

 

For the other factor, we have

 

sin(x) - 1   =  0      add 1 to both sides

 

sin(x)  = 1       and this happens at 90°

 

The sum of the solutions is 360°

 

 

cool cool cool

 Apr 27, 2016
 #2
avatar+45 
0

but doesnt it have to equal less than 360 since its saying that you have to solve it in the interval 0<x<2pi

jennyara  Apr 27, 2016

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