Chapter 1 | Functions and Graphs
91
A B x y
A B x y
3
0 1
1
3
1 0
1
1 1
12 5
1 2
5
12
2 1
2 2
3 4
4 3
5. Try to figure out the formula for the y -values. 6. The formula for the x -values is a little harder. The most helpful points from the table are (1, 1), ⎛ ⎝ 1, 3 ⎞ ⎠ , ⎛ ⎝ 3, 1 ⎞ ⎠ . ( Hint : Consider inverse trigonometric functions.) 7. If you found formulas for parts (5) and (6), show that they work together. That is, substitute the x -value formula you found into y = A sin x + B cos x and simplify it to arrive at the y -value formula you found.
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