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Malus Law - Cosine squared term?

by Dart82
Tags: cosine, malus, squared, term
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Dart82
#1
Mar6-07, 03:02 PM
P: 58
this is just a general trig question:

We are going over Malus law in physics; the formula is this:
S = s*cos^2(theta)

My question is about the cosine squared term in the equation. does this simply mean take the cosine of a number and square it? in other words would this be the same thing as [cos(theta)]^2
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arildno
#2
Mar6-07, 03:04 PM
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Indeed!

It is an unfortunate notation that confuses a lot of students, but it won't ever go away. you have to live with it.
drpizza
#3
Mar6-07, 03:18 PM
P: 291
I simply tell my students that once upon a time, they wrote it as (sinx)^2, but lazy students kept leaving off the parenthesis and wrote sinx^2, sometimes meaning to take the sine of x, then square that answer; other times meaning to square the x first, then take the sine. To eliminate confusion, when they want the sin value to be squared, they put the squared symbol right next to sin
[tex]sin^{2}x[/tex]

So, to shorten [tex](sinx)^2[/tex] write [tex]sin^{2}x[/tex]
and
to shorten [tex]sin(x^2)[/tex] write [tex]sinx^2[/tex] (although some people prefer those parenthesis are left in the latter case.)

Dart82
#4
Mar6-07, 05:44 PM
P: 58
Malus Law - Cosine squared term?

ahhh...thanks for the clarification guys. you've made my day a lot easier!


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