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Mathematics 8 Online
OpenStudy (anonymous):

Verifying Trigonometric Identies help.

OpenStudy (anonymous):

\[\frac{ 1 }{sinx-1 }-\frac{ 1 }{ sinx+1 }=-2\sec^2x\]

OpenStudy (anonymous):

\[\frac{ sinx+1 }{\sin^2x-1}-\frac{ sinx-1 }{\sin^2x-1 }=\frac{ 2 }{ \sin^2x-1}\]

rishavraj (rishavraj):

\[(a + b) (a - b) = (a^2 - b^2)\]

OpenStudy (anonymous):

that's what I got so far

rishavraj (rishavraj):

u mean \[\frac{ \sin x + 1 - (\sin x -1) }{ \sin^2 x - 1 }\]

OpenStudy (anonymous):

it wouldn't just be \[\frac{ 2 }{\sin^2x-1 }\]

rishavraj (rishavraj):

so it would be \[\frac{ 2 }{ \sin^2 x - 1 }\] and cos^2 x + sin^2 x = 1 proceed

rishavraj (rishavraj):

\[\sin^2 - 1 = - \cos^2 x \]

OpenStudy (anonymous):

so \[\frac{ 2}{ \cos^2x }\]

rishavraj (rishavraj):

its \[\frac{ -2 }{ \cos^2 x }\]

OpenStudy (anonymous):

ah yeah I see that now

rishavraj (rishavraj):

and \[\frac{ 1 }{ \cos x } = \sec x\]

OpenStudy (anonymous):

I know sec x= 1/cos x

OpenStudy (anonymous):

it still keeps the ^2 ?

rishavraj (rishavraj):

\[\frac{ 1 }{ \cos^2 x } = \sec^2 x\]

OpenStudy (anonymous):

thank you I got it now

rishavraj (rishavraj):

u welcome :))

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