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Unformatted text preview: Rotations and Reflections of Angles Section 1.5 37 Exercises 1. Let = 32 . Find the angle between 0 and 360 which is the (a) reflection of around the xaxis (b) reflection of around the yaxis (c) reflection of around the origin 2. Repeat Exercise 1 with = 248 . 3. Repeat Exercise 1 with = 248 . 4. We proved formulas (1.4)(1.6) for any angle in QI. Mimic that proof to show that the formulas hold for in QII. 5. Verify formulas (1.4)(1.6) for on the coordinate axes, i.e. for = , 90 , 180 , 270 . 6. In Example 1.26 we used the formulas involving + 90 to prove that the slopes of perpendicu lar lines are negative reciprocals. Show that this result can also be proved using the formulas involving 90 . ( Hint: Only the last paragraph in that example needs to be modified. ) For Exercises 7  14, find all angles 0 < 360 which satisfy the given equation: 7. sin = 0.4226 8. sin = 0.19090....
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 Fall '11
 Dr.Cheun
 Calculus, Angles

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