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Mathematics

OpenStudy (anonymous):

Simplify the expression. (Medal for whoever gets it, I'm so confused ;-;)

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OpenStudy (anonymous):

OpenStudy (kewlgeek555):

Do you have a specific expression?

OpenStudy (anonymous):

@kewlgeek555 The picture.

OpenStudy (***[isuru]***):

hi, let's starts with the numerator \[\cos ^{2}x + \sin ^{2}x = 1\] do you know that ?

OpenStudy (***[isuru]***):

\[\frac{ \cos ^{2}x + \sin ^{2} x}{ \cot ^{2}x - \csc ^{2}x }\] \[\frac{ 1 }{ \cot ^{2}x - \csc ^{2}x }\] \[\frac{ 1 }{ \frac{ \cos ^{2}x }{ \sin ^{2}x } - \frac{ 1 }{ \sin ^{2}x} }\] \[\frac{ 1 }{\frac{ \cos ^{2}x - 1 }{\sin ^{2}x } }\] hence \[\cos ^{2}x - 1 = -\sin ^{2}x\] then \[\frac{ 1 }{ \frac{ \cos ^{2}x - 1 }{ \sin ^{2}x } } = \frac{ 1 }{ \frac{ -\sin ^{2} x}{ \sin ^{2}x }}\] \[\frac{ 1 }{-1 } = -1\] hope this will help ya!!!

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