Posted by Trig on Sunday, November 9, 2008 at 2:16pm.
Prove that (3cos^2x + 8sinx8/cos^2x) = (3sinx5/sinx+1)

Trigonometry  Reiny, Sunday, November 9, 2008 at 3:03pm
your lack of the proper use of brackets make your equation much too ambiguous.
Furthermore, the brackets you do use, make no difference to the meaning.
If they are removed, there is no change in the order of operation, but ....
on the left side, who is divided by cos^2 x ?
is it 8/cos^2 x ? or
(8sinx8)/cos^2 x or
(3cos^2x + 8sinx8)/cos^2 x
each would give you a different result, the same is just as confusing on the right side.

Trigonometry  Trig, Sunday, November 9, 2008 at 3:31pm
(3cos^2x + 8sinx8)/cos^2x = (3sinx5)/sinx+1

Trigonometry  Reiny, Sunday, November 9, 2008 at 4:09pm
LS = (3(1sin^x) + 8x  8)/cos^2x
= (33sin^x+8x8)/cos^2x
= (3sin^2x  8x + 5)/((1sinx)(1+sinx))
= (3sinx5)(sinx1)/((1sinx)(1+sinx))
= (3sinx5)(1  sinx)/((1sinx)(1+sinx))
= (3sinx5)/(1+sinx)
= RS
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