T-89 not giving pi back as cos(-1)

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The discussion centers around a misunderstanding of the cosine function and its inverse. The cosine of -1 does not equal pi; instead, it produces a numerical value of approximately 0.540302, which corresponds to cos(1). The key point is that the cosine function only outputs values between -1 and 1, making it impossible for cos(-1) to equal pi, as pi is greater than 1. To find the angle whose cosine is -1, the correct function to use is the inverse cosine, denoted as cos^(-1) or arccos. Additionally, it's important to clarify whether the angle is being measured in radians or degrees, as this can affect the output of the calculator.
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I have a cosine calculator problem, and it keeps coming up wrong. So I figured to test it would be to do cosine of -1 which should be pi, either symbolically or numerically but it doesn't come out with either. It either produces cos(1) or .540302. It used to give pi as the symbol or as the number. What did I change?
 
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Are you doing inverse cosine?

##arccos(-1) = \pi##
 
Tyrion101 said:
I have a cosine calculator problem, and it keeps coming up wrong. So I figured to test it would be to do cosine of -1 which should be pi, either symbolically or numerically but it doesn't come out with either.
You should be using cos-1, the inverse cosine function.
Tyrion101 said:
It either produces cos(1) or .540302. It used to give pi as the symbol or as the number. What did I change?
 
Thanks! I'd hate to fail the course because of a stupid mistake like this!
 
Tyrion101 said:
So I figured to test it would be to do cosine of -1 which should be pi
Tyrion101 said:
Thanks! I'd hate to fail the course because of a stupid mistake like this!
This mistake suggests a fairly serious flaw in your understanding of these trig functions. The sine and cosine functions never get above 1 or below -1, so it's not possible for the cosine of any real number to be ##\pi##.
 
Here is how to make sense very quickly:

cos(-1)=π -----------------No. Too big for any cosine value.
and: Is that cosine function input in radians or in degrees?
 
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