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    Create a trigonometric function and predict moon illumination?

    How would I create a trigonometric function with the data x - y 76 |.5 84 | 1.0 91 |.5 98 | 0.0 106 | .5 114| 1.0 like I think it's .5(sin)(.2232x-C) + . 5 but I have no clue how to find C and it said x = 70 represents March 11, now find the percent illumination on May 8, 2005. I have no clue...
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