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Mathematics 6 Online
OpenStudy (anonymous):

Done :)

OpenStudy (anonymous):

I'm not sure where to begin.. factoring?

OpenStudy (perl):

actually first make a quadratic equation

OpenStudy (michele_laino):

Please you have to write your equation, setting sin X=y, where y is a new variable, so you get an algebraic quadratic equation in y, the solve that equation for y

OpenStudy (perl):

7 sin^ 2 x-14sin x + 2 = -5 7 sin^ 2 x-14sin x + 7 = 0 7 ( sin^2 x - 2 sin x + 1 ) = 0 7 ( sin x -1 ) ( sin x -1 ) = 0

OpenStudy (perl):

now use zero product property: if A*B = 0, then A = 0 or B = 0

OpenStudy (michele_laino):

namely sin x=1, twice!

OpenStudy (anonymous):

How did you get sin x=1 twice? You solved using the zero product property? That's what I'm attempting to do now haha

OpenStudy (michele_laino):

Yes I have used the zero product property, your solutions are double because there are two identical factors (sin x-1)

OpenStudy (anonymous):

Ooooh okay. All of the examples I have, have really complicated answers. I was trying to figure that out. Alright, thank you so much! I really appreciate it

OpenStudy (michele_laino):

Thank you!

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