運算式 8: "y" equals sine left parenthesis, "x" plus StartFraction, 11 pi Over 6 , EndFraction , right parenthesisy=sinx+11π6
8
Using arcsine gives you *only one* solution, in this case it's x=5π/3
對學生隱藏此資料夾。
9
運算式 10: "y" equals arc sine left parenthesis, 1 half , right parenthesisy=arcsin12
10
運算式 11: "y" equals "x" plus StartFraction, 11 pi Over 6 , EndFractiony=x+11π6
11
Since we know that sine repeats in *periods of 2π*, we can find many other solutions that way
對學生隱藏此資料夾。
12
運算式 13: "y" equals "x" plus StartFraction, 11 pi Over 6 , EndFraction plus "n" times 2 piy=x+11π6+n·2π
13
運算式 14: "n" equals 4n=4
14
Since we know that sine is *symmetric to x=π/2*, you can find even more solutions by reflection like this
對學生隱藏此資料夾。
15
運算式 16: "y" equals pi minus left parenthesis, "x" plus StartFraction, 11 pi Over 6 , EndFraction , right parenthesis plus "n" times 2 piy=π−x+11π6+n·2π