Trigonometry w/o a calculator.
Finding the Sine value in degrees.
When the angle is : x degrees.
Calculate y = x * (180-x)
Then.
Sin(x) = 4 y / ( 40500 - y )
Max error will be less than 2% which is good enough for prayer time calculation.
Example :
Sine 22 degrees,
y = 22 * (180-22) = 22*158 = 3160+316 = 3476
Sin 22 = 4*3476/(40500-3476)
= 0.3755 ans.
Real value is 0.3746. Which is 0.2% less than our value.
ArcSine of our result gives 22.06 degrees, still 0.3% within our initial value.
#math
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- +8 comment deleted from 2 persons, and 1 blocked. sorry. lets not make this status larger than it is.