What is the meaning of sine squared in mathematical calculations?

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Discussion Overview

The discussion revolves around the interpretation and calculation of sine squared in mathematical expressions, specifically focusing on the calculation of sine squared and cosine squared of 45 degrees. The scope includes mathematical reasoning and clarification of notation.

Discussion Character

  • Mathematical reasoning, Conceptual clarification

Main Points Raised

  • One participant, james, presents a problem involving the calculation of sine squared and cosine squared of 45 degrees.
  • Another participant explains that sine squared of 45 degrees means taking the sine of 45 degrees and squaring that value, providing the calculation that sine(45) equals 1/sqrt{2} and thus sine^2(45) equals 0.5.
  • A later reply suggests that sine squared of 45 degrees is equivalent to sine squared of 45 degrees multiplied by itself.
  • Another participant comments on the confusing nature of the notation used in these calculations.

Areas of Agreement / Disagreement

Participants seem to agree on the interpretation of sine squared, but there is a recognition of the potential confusion surrounding the notation used.

Contextual Notes

The discussion does not address any assumptions about the notation or the implications of squaring trigonometric functions, leaving some aspects of the notation unresolved.

jamesd2008
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I have a problem were i must calculate sine^2(45)*cos^2(45)

Thanks in advance
james
 
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sine^2(45) would mean you take the sine of 45 degrees and then you square that value.

sine(45) = 1/\sqrt{2}
sine^2(45) = (1/\sqrt{2})^2 = .5
 
ok, thanks is the same as sine^2(45)*sine^2(45). :-)
 
Yes. Confusing notation, isn't it... pity.
 

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