Use linear interpolation to estimate sin 36 using as your 'known' values 0 & 60?

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SUMMARY

The discussion focuses on using linear interpolation to estimate the sine of 36 degrees based on known values of sine at 0 degrees and 60 degrees. The calculation shows that sin(36°) is approximately 0.5196, derived from the equation 36/60 = x/0.8660, where 0.8660 is the sine of 60 degrees. The value 0.8660 is confirmed as sin(60°), while sin(0°) is 0, providing the necessary reference points for the interpolation.

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escobar147
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here is the answer:

36/60 = x/.8660

60x = .8660 x 36

60x = 31.176

x = .5196

however, where does the value: 0.8660 initially come from?

any help would be appreciated
 
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escobar147 said:
however, where does the value: 0.8660 initially come from?
sin(60°) ~= 0.8660 (and sin(0°) = 0).
 
rcgldr said:
sin(60°) ~= 0.8660 (and sin(0°) = 0).

thanks
 

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