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Engaging Trigonometry Challenge: Rounds and Bonus Wager

Join an exciting three-round trigonometry challenge followed by a final bonus round! Each round presents three questions focused on key topics like sum and difference formulas, half-angle identities, and double angles. Participants will assign point values to questions based on difficulty. Correct answers earn points, and the bonus round includes an open wager. Conquer the challenges, secure the top score, and win delicious prizes!

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Engaging Trigonometry Challenge: Rounds and Bonus Wager

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  1. Extra Review Sheet Answers 1) –sin x 2) 1 3) –cos x 4) 1 5) sin Ө 6) tan Ө 7) 1 8) csct sect 9) csct sect 10) cos2x 11) a. b. 12) a. b. 13) 14) 1

  2. 15) a. b. 16) a. b. 17) 18) 19) 20) a. b. c.

  3. Basic Idea: • We will play 3 rounds then a final bonus round • Each round contains 3 questions • You will be given the topics of these 3 questions • You will assign point values to these questions • You get the question correct, you earn those points • Bonus round is an open wager • Team(s) with highest points will be awarded delicious prizes

  4. Round One: 1, 3, and 5 Points 1) Sum & Difference 2) Half-Angles 3) Simplify Using Identities

  5. Round 1 Problems 1) Use a sum or difference formulas to find the exact value of sin 75̊ 2) Use a half-angle to find the exact value of cos 22.5̊ 3) Simplify:

  6. Round Two: 2, 6, and 10 points 1) Simplify Using Identities 2) Double Angles 3) Sum & Difference

  7. Round 2 Problems 1) Simplify: cos3x + cosx sin2x 2) Given: cot Ө = 2, cosӨ < 0, find the exact value of sin 2 Ө 3) Simplify:

  8. Round 3: 3, 9, 15 points 1) Double Angles 2) Simplify Using Identities 3) Sum & Difference

  9. Round 3 Problems 1) Use a double angle to find the exact value of 2) Simplify: 3) Use sum or difference formulas tofind the exact value of

  10. Bonus Round: Make a Wager

  11. αlies in quadrant II, and  lies in quadrant I Find the exact value of cos (α + )

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