MHB Determine the approximate values of sinθ and cosθ from the diagram below

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To determine the approximate values of sinθ and cosθ from the diagram, one must recognize that if the points are on the unit circle centered at the origin, then x equals cos(θ) and y equals sin(θ). The specific values depend on the angle θ, which is not indicated in the diagram. A suggestion is made that θ could relate to the angle of symmetry in the letter "o" of the Google logo. Without a clear indication of θ, precise values cannot be established. Understanding the relationship between the angle and the unit circle is essential for accurate calculations.
SarahJeen
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The answer I got was: View attachment 864
If I'am wrong please explain the correct solution and explain your reasoning thanks sarah (Sun)
 

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Re: Determine the approximate values of sinθ and cosθ from the digram below

If your points are on the unit circle centred at the origin, then [math]\displaystyle \begin{align*} x = \cos{(\theta)} \end{align*}[/math] and [math]\displaystyle \begin{align*} y = \sin{(\theta)} \end{align*}[/math].
 
SarahJeen said:
Determine the approximate values of sinθ and cosθ from the diagram below
This, of course, depends on what $\theta$ is since it is not marked on the diagram. Maybe it's the angle made by the axis of symmetry of the letter "o" in the Google logo (which is typeset in the Catull font). (Smile)

OCiJKUb.png
 
I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...

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