Homework

In case you miss a homework assignment in class, you can find it below. Unless otherwise specified, all problems are from the 9th Edition of Algebra & Trigonometry published by Prentice-Hall (Pearson). See the grading policies for general instructions on doing homework and how it will be graded.

Review (to be turned in individually):
- Date assigned: January 8 Wednesday;
- Date due: January 13 Monday;
- Problems from §6 Cumulative Review (pages 500&501): 1–5, 8, 11.b.
- Extra credit (essay): Explain your background in mathematics and what you are going to use this course for.
Circles:
- Date assigned: January 13 Monday.
- Date due: January 15 Wednesday.
- Problems from MyMathLabPlus (Orientation).
- Problems from §2.1 (pages 154–157):
  - No additional work needed: 2, 3;
  - Show what numerical calculation you make or what equation you solve: 17, 21, 35.
- Problems from §2.4 (pages 185–188):
  - No additional work needed: 7, 9, 13, 21;
  - Show at least one intermediate step for each: 23, 37.
Angles:
- Date assigned: January 17 Friday.
- Date due: January 22 Wednesday.
- Problems from MyMathLabPlus (§7.1).
- Problems from §7.1 (pages 513–517):
  - No additional work needed: 1, 5, 7, 11, 13, 17, 19;
  - Show what numerical calculations you make: 35, 37, 47, 49;
  - Show what numerical calculations you make or what equations you solve: 71, 73, 75, 79, 81, 83, 97, 101.
Acute trigonometry:
- Date assigned: January 22 Wednesday.
- Date due: January 24 Friday.
- Problems from MyMathLabPlus (§§7.2&3).
- Problems from §7.2 (pages 525–528):
  - No additional work needed: 1–6;
  - State also the length of the other side of the triangle: 11, 12, 14, 18;
  - Show what numerical calculations you make or what equations you solve: 20, 22, 25, 29, 31, 34;
  - Show at least one intermediate step or give a reason for each: 37, 44;
  - Show what numerical calculations you make or what equations you solve: 55.
- Problems from §7.3 (pages 536–540):
  - No additional work needed: 7, 8;
  - Show what numerical calculation you make: 11, 16, 18, 20;
  - Optional (using a calculator): 30, 43.
Arbitrary angles:
- Date assigned: January 27 Monday.
- Date due: January 29 Wednesday.
- Problems from MyMathLabPlus (§§7.4&5).
- Problems from §7.4 (pages 548–550):
  - No additional work needed: 1;
  - For each result, show what numerical calculation you make or what equation you solve: 3, 7;
  - No additional work needed: 8, 9;
  - For each result, show what numerical calculation you make or what equation you solve: 10, 11, 16, 18, 20, 30, 43, 46, 62, 75, 83, 88.
- Problems from §7.5 (pages 559&560):
  - No additional work needed: 1, 5, 6, 7;
  - For each result, show what numerical calculation you make or what equation you solve: 9, 12, 14, 15.
The trigonometric functions:
- Date assigned: January 29 Wednesday.
- Date due: January 31 Friday.
- Problems from MyMathLabPlus (§§7.5–7).
- Problems from §7.5 (pages 559&560):
  - For each result, show what numerical calculation you make or what equation you solve: 21, 35;
  - No additional work needed: 38, 45, 53.
- Problems from §7.6 (pages 571–576): No additional work needed: 3, 9, 10.
- Problems from §7.7 (pages 581–583): No additional work needed: 1, 3, 4, 7–16.
Graphing:
- Date assigned: February 3 Monday.
- Date due: February 5 Wednesday.
- Problems from MyMathLabPlus (§§7.6–8).
- Problems from §7.6 (pages 571–576):
  - Show what numerical calculation you make to find the period: 15, 17;
  - Show what numerical calculation you make to match the period with the angular frequency: 21, 27, 29;
  - Show what numerical calculation you make to find the period: 43, 45, 51, 57;
  - No additional work needed: 100.
- Problems from §7.8 (pages 592–594):
  - Show what numerical calculations you make to find the period and phase shift: 3, 5, 7, 8, 13;
  - Show what numerical calculations you make to find the angular frequency and the angular phase shift (φ): 16.
- Problems from §7.7 (pages 581–583):
  - No additional work needed: 20, 25;
  - Show what numerical calculation you make to find the period: 29, 30, 33, 37.
Inverse trigonometric operations:
- Date assigned: February 7 Friday.
- Date due: February 10 Monday.
- Problems from MyMathLabPlus (§§8.1&2).
- Problems from §8.1 (page 613–616):
  - No additional work needed: 1, 5, 6, 7, 8, 13–19 odd, 22, 24;
  - Optional (using a calculator): 25, 29;
  - Show at least one intermediate step if the answer is not the angle that you started with: 37–43 odd;
  - If the result is undefined, say briefly why it is undefined: 45, 47, 49, 50, 51;
  - Show at least what equation you solve and its solution: 53, 55, 59;
  - Show at least one intermediate step: 61, 67.
- Problems from §8.2 (pages 620–622):
  - No additional work needed: 1, 3;
  - Show at least one intermediate step for each: 9–29 odd, 35, 36;
  - No additional work needed: 37–44;
  - Optional (using a calculator): 45, 47, 51.
Sum and difference formulas:
- Date assigned: February 12 Wednesday.
- Date due: February 14 Friday.
- Problems from MyMathLabPlus (§8.5).
- Problems from §8.5 (pages 649–652):
  - No additional work needed: 3, 5, 6;
  - Show at least one intermediate step using a sum or difference formula: 11, 12, 21, 25, 33, 35.
Product formulas:
- Date assigned: February 17 Monday.
- Date due: February 19 Wednesday.
- Problems from MyMathLabPlus (§§8.6&7).
- Problems from §8.6 (pages 659–662): Show at least one intermediate step using a double or half formula: 7, 9, 12, 19, 26.
- Problems from §8.7 (pages 664&665): Show at least one intermediate step using a sum-to-product or product-to-sum formula: 5, 7, 17.
Simplifying trigonometric expressions:
- Date assigned: February 21 Friday.
- Date due: February 24 Monday.
- Problems from MyMathLabPlus (§8.4).
- Problems from §8.4 (pages 637–639):
  - No additional work needed: 4, 5;
  - Show at least one additional step for each: 10, 12, 14–17;
  - Show at least one intermediate step for each side that is not already simplified: 19, 23, 25, 29, 31, 35, 37, 49, 57, 86.
- Problems from §8.5 (pages 649–652): Show at least one intermediate step for each side that is not already simplified: 47, 59, 71.
- Problems from §8.6 (pages 659–662): Show at least one intermediate step for each side that is not already simplified: 59, 65.
- Problems from §8.7 (pages 664&665): Show at least one intermediate step for each side that is not already simplified: 39.
Solving trigonometric equations:
- Date assigned: February 26 Wednesday.
- Date due: February 28 Friday.
- Problems from MyMathLabPlus (§8.3).
- Problems from §8.3 (pages 628–632):
  - No additional work necessary: 1, 2, 3, 4;
  - Show at least one intermediate step for each: 12, 14, 18, 27, 31;
  - No additional work necessary: 37, 39;
  - Optional (using a calculator): 45, 47, 51;
  - Show at least one intermediate step for each: 58, 60, 70, 76, 79;
  - Show what equations you solve (and leave answers in exact form if you don't want to use a calculator): 103, 111.
- Problems from §8.5 (pages 649–652): Show at least one intermediate step (hint: use a summation formula backwards): 91.
- Problems from §8.6 (pages 659–662): Show at least one intermediate step (hint: put everything in terms of sin θ): 69.
Solving triangles:
- Date assigned: March 3 Monday.
- Date due: March 5 Wednesday.
- Problems from MyMathLabPlus (§§9.1–3).
- Problems from §9.1 (pages 676–678):
  - No additional work necessary: 1, 4, 5;
  - For each result, show what numerical calculation you make or what equation you solve (but you can skip calculating complementary angles); give exact results or use a calculator: 9–22, 25, 27, 35.
- Problems from §9.2 (pages 685–689):
  - No additional work necessary: 2, 5;
  - For each result, show what numerical calculation you make or what equation you solve (but you can skip calculating angles from angles); give exact results or use a calculator: 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 39, 47.
- Problems from §9.3 (pages 692–695):
  - No additional work necessary: 2;
  - For each result, show what numerical calculation you make or what equation you solve (but you can skip calculating angles from angles); give exact results or use a calculator: 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 39, 45.
Polar coordinates:
- Date assigned: March 7 Friday.
- Date due: March 12 Wednesday.
- Problems from MyMathLabPlus (§§10.1&2).
- Problems from §10.1 (pages 725–727):
  - No additional work necessary: 1, 2, 4, 8, 9–16, 17, 19, 22, 24, 27, 29, 31–38;
  - Show what numerical calculations you make: 39, 41, 43, 45, 47, 49.
- Problems from §10.2 (pages 739–741):
  - No additional work necessary: 1, 3, 5, 6, 13–20, 29–36;
  - Show at least one intermediate step of algebra for each: 37, 39, 45, 47, 49.
Vectors:
- Date assigned: March 12 Wednesday.
- Date due: March 19 Wednesday.
- Problems from MyMathLabPlus (§§10.4&5).
- Problems from §10.4 (pages 760–763):
  - No additional work needed: 2, 9–16, 27;
  - Show what numerical calculations you make: 29–35 odd, 38, 41, 44;
  - No additional work needed: 47, 48;
  - Show what numerical calculations you make: 51, 57, 59, 63.
- Problems from §10.5 (pages 769&770):
  - No additional work needed: 3, 4;
  - Show what numerical calculations you make: 7, 13, 15, 19, 23.

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