#Chart for trigonometric values

23 messages · Page 1 of 1 (latest)

bold ore
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Does anyone have a chart or image of all submultiple values of sin, cos and tan ranging from 3.25, 7.5, 9, 18, 36... 72, 90?

serene kindleBOT
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exotic hull
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the sequence of numbers, their units are in degees correct?

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to convert the list of numbers in degrees to radians, we multiply each term in the sequence by pi/180

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then, you plot the unit circle x^2+y^2=1

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then using the relation y=sin(theta) and x=cos(theta), u can visualize the chart of multiples/submultiples of a given angle and their corresponding value

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so, for 3.25, i will find 3.25pi/180, and set the sin of that value to y

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you can repeat this process to derive the values of the sin/cos of the angles that you have requested! hope this helped.

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forgot to add that when you find a coordinate with both (x,y) as described above, you get 1 unique point. and see that this is exactly 3.25 degrees from the origin!

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you may repeat this process a bit simpler without explicitly defining x and y, simply plot x^2+y^2 = 1, and then use (cos(degrees*pi/180),sin(degrees times pi/180)) and u will see the multiplicity in the values you have requested! cheers

bold ore
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Like for example sin 15° would be root3 -1 / 2root2

vestal sparrow
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I don't get the point of this

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You can literally just use trig identities, there are too many of these "nice" values to squish into a table/memorize for use

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It's just easier to derive it

bold ore
bold ore
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I guess I could derive them rn and then learn their values

tame thicketBOT
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@bold ore

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bold ore
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+close

tame thicketBOT
# bold ore +close
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