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anonymous
 one year ago
Verify the identity.
cotangent of x to the second power divided by quantity cosecant of x plus one equals quantity one minus sine of x divided by sine of x
anonymous
 one year ago
Verify the identity. cotangent of x to the second power divided by quantity cosecant of x plus one equals quantity one minus sine of x divided by sine of x

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\cot^2x/\csc x +1 = 1  \sin x/\sin x\]

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1try changing LHS to sine and cosines

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(cos^2(x)/sin^2(x))/1/sin(x) = (cos^2(x)/sin^2(x))/sin(x)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1just checking is the question dw:1438357529236:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(cos^2(x)/sin^2(x))/1/sin(x)+sin(x)/sin(x) = (cos^2(x)/sin^2(x))/sin(x)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1i'll write s for cos x and s for sin x dw:1438357934242:dw 

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1can you continue? 2 more steps and you are home

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0almost let me look at it

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1(1  s) will cancel out

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1sorry (1 + s) will cancel out

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0on the third step where did you get c^2/s^2

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1c^2 / s^2 was carried on from second step

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the second step was simplified to that

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1 not very readable I know!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so 1+s/s simplifies to s^2?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1no in the second step c^2 / s^2 is divided by (1+s) / s so we invert the (1+ s) / s to s/(1 + s) then multiply

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I understand now I just had to look at the equation a bit more

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1and in 4th step we replace cos^x by 1  sin^ x

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1cos^2 x by 1  sin^2 x

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1this is the difference of 2 squares so simplifies to (1  s)(1 + s)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep i understand that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im ready for the next two steps

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1so now we can cancel out (1 + s) which appears in the top and bottom of the fractions dw:1438358863645:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{1\sin(x)}{\sin(x)}=\frac{1}{\sin(x)}\frac{\sin(x)}{\sin(x)}=\csc(x)1\] \[\implies (\csc(x)1).\frac{(\csc(x)+1)}{(\csc(x)+1)}=\frac{\csc^2(x)1}{\csc(x)+1}=\frac{\cot^2(x)}{\csc(x)+1}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I've made use of the identities \[(ab)(a+b)=a^2b^2\] and \[1+\cot^2(x)= \csc^2(x)\]
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