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Topic: Algebra 2/Trig Regents
Replies: 55   Last Post: Jul 1, 2011 6:01 PM

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 Eileen Lane Posts: 7 Registered: 6/6/11
Re: a history of regents exam errors
Posted: Jul 1, 2011 9:58 AM

Does anyone have a link to that article?

Eileen Lane
Union-Endicott H.S.
Math Dept.
>>> Evan Romer <evanromer@gmail.com> 07/01/11 9:50 AM >>>
I agree that cos^-1 represents the inverse trig function (and the
glossary says so also). So its range should be [0,pi].

But even if you grant that cos^-1 represents the inverse of cos, not
necessarily the inverse function of cos, then the range should be all
real numbers.

So under either interpretation of cos^-1, there is no correct choice
given. There is no interpretation of cos^-1 for which the range is
[0,2pi].

Evan Romer
Susquehanna Valley HS

On Jun 30, 2011, at 8:08AM, Nick B wrote:

>
> There was a Newsday article published about the errors on the test,
> and the focus was on #19. Some had commented on the online version
> of the article saying that inverse cosine doesn't have to be a
> function; however, we can go to the NYSDOE Glossary for grades 9-12
> to see that assertion is false, even according to the state:
>
>

>
> (Page 42) inverse trigonometric functions (A2T) Given the value of a
> trigonometric function for an angle ?, the inverse trigonometric
> function outputs the measure of angle ?. The inverses of the six
> basic trigonometric functions are written as sin-1, cos-1, tan-1,
> csc-1, sec-1, and cot-1.
>
> While that is a lousy definition, the state is clearly defining the
> ^-1 notation as the inverse function. None of the choices in #19 is
> a function. I happen to know the people at Stony Brook University
> in the Newsday article personally and ALL are fantastic
> mathematicians and teachers and would not lead us astray.
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Date Subject Author
6/20/11 Jayson Kiang
6/20/11 rhoffman@wacs2.wnyric.org
6/21/11 Jessica
6/21/11 Jonathan Halabi
6/21/11 Mitchell, Doreen
6/21/11 Lin Chen
6/21/11 Steve Grey
6/21/11 Lin Chen
6/21/11 precopio@nycap.rr.com
6/21/11 Kathy
6/22/11 Glenn Mary
6/23/11 Jonathan Halabi
6/23/11 Deanna Tullison
6/24/11 ELEANOREVO@aol.com
6/24/11 Roberta M. Eisenberg
6/24/11 lvullo@ccsd-k12.org
6/24/11 Ann Murray
6/24/11 ELEANOREVO@aol.com
6/24/11 Ann Murray
6/24/11 Roberta M. Eisenberg
6/24/11 precopio@nycap.rr.com
6/29/11 Glenn Mary
6/30/11 Brent Neeley
6/30/11 Nick B
6/30/11 Evan Romer
6/30/11 SRothwell@e1b.org
7/1/11 Nick B
6/30/11 Eileen Welch
7/1/11 Eileen Lane
6/21/11 Menapace, Susan
6/21/11 Mimi Duncan
6/21/11 Jason L
6/21/11 Joe Del Giudice
6/21/11 Nick B
6/21/11 dfothergill@wvcsd.org
6/21/11 ElizWaite@aol.com
6/21/11 Jason
6/22/11 Jonathan Halabi
6/22/11 SRothwell@e1b.org
6/22/11 maryanne doyle
6/22/11 Jayson Kiang
6/22/11 Nick B
6/22/11 John
6/22/11 StGOLD2112@aol.com
6/22/11 Nick B
6/23/11 precopio@nycap.rr.com
6/23/11 TulloOLL@aol.com
6/23/11 Deanna Tullison
6/23/11 VERN TENNEY