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Mathematics 15 Online
OpenStudy (anonymous):

How do you do this?

OpenStudy (anonymous):

i am about to attach a file sorry

OpenStudy (anonymous):

OpenStudy (anonymous):

@gorv

geerky42 (geerky42):

Can you do first part?

OpenStudy (anonymous):

going from sinxcosx=1 to sin^4x-sin^2x+1=0? If thats what you are talking about then yes

geerky42 (geerky42):

Ok good, so now you have \(\sin^4 x-\sin^2 x+1 = 0\) Hmm, it looks like quadratic equation... You can let \(u\) be \(\sin^2 x\) So now you have \(u^2-u+1=0\) Apply quadratic formula.

OpenStudy (anonymous):

ok give me one sec to do this

OpenStudy (anonymous):

ok so i got\[(\sin ^2x \pm \sqrt{\sin ^2x(-1-4\sin^2x)})/2\sin^4x\]

OpenStudy (anonymous):

i don't know where to go from here

OpenStudy (anonymous):

@geerky42

OpenStudy (anonymous):

please help nnesha

geerky42 (geerky42):

? You just solve for u, you apply formula to solve for u; you have \(u = \dfrac{1\pm\sqrt{1-4}}{2} = \dfrac{1\pm i\sqrt{3}}{2}\) Notice that \(u = \sin^2 x = \dfrac{1\pm\mathbf i\sqrt{3}}{2}\) is imaginary number.

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