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Jeopardy Simplify Trig expressions Verify Trig Identities Find all Solutions Solutions with multiple angles Solutions with factoring Q $100 Q $200 Q $300.

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Presentation on theme: "Jeopardy Simplify Trig expressions Verify Trig Identities Find all Solutions Solutions with multiple angles Solutions with factoring Q $100 Q $200 Q $300."— Presentation transcript:

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2 Jeopardy Simplify Trig expressions Verify Trig Identities Find all Solutions Solutions with multiple angles Solutions with factoring Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

3 $100 Question from Simplify Trig expressions Cos(x)Sec(x)

4 $100 Answer from Simplify Trig expressions 1

5 $200 Question from Simplify Trig expressions Cos 2 (x) 1 – cos^2(x)

6 $200 Answer from Simplify Trig expressions Cot 2 (x)

7 $300 Question from Simplify Trig expressions Tan(x) + 1 Sec(x)

8 $300 Answer from Simplify Trig expressions Sin(x) + Cos(x)

9 $400 Question from Simplify Trig expressions Cot(x) ( Tan(x) + Cot (x) )

10 $400 Answer from Simplify Trig expressions Csc 2 (x)

11 $500 Question from Simplify Trig expressions Sin 2 (x) – Tan 2 (x) Tan 2 (x)Sin 2 (x)

12 $500 Answer from Simplify Trig expressions

13 $100 Question from Verify Trig Identities Sin(x)Sec(x) = Tan(x)

14 $100 Answer from Verify Trig Identities Proofs will vary Sin(x) 1 Cos(x) Sin(x) Cos(x) Tan(x)

15 $200 Question from Verify Trig Identities Tan(x)Cot(x) = Cos(x) Sec(x)

16 $200 Answer from Verify Trig Identities Tan(x) 1/tan(x) Sec(x) 1 Sec(x) Cos(x)

17 $300 Question from Verify Trig Identities 1 – Cos(x) = Csc(x) – Cot(x) Sin(x)

18 $300 Answer from Verify Trig Identities 1 - Cos(x) Sin(x) Csc(x) - Cot(x)

19 $400 Question from Verify Trig Identities Sec 2 (x)Csc 2 (x) = Sec 2 (x) + Csc 2 (x)

20 $400 Answer from Verify Trig Identities (Tan 2 (x) + 1)Csc 2 (x) Tan 2 (x)Csc 2 (x) + Csc 2 (x) Sin 2 (x) 1 + Csc 2 (x) Cos 2 (x) Sin 2 (x) 1+ Csc 2 (x) Cos 2 (x) Sec 2 (x) + Csc 2 (x)

21 $500 Question from Verify Trig Identities Cos(x) + 1 – Sin(x) = 2Sec(x) 1 – Sin(x) Cos(x)

22 $500 Answer from Verify Trig Identities Cos(x)(1 + Sin(x)) + Cos(x)(1 – Sin(x)) 1 – sin 2 (x) Cos 2 (x) Cos(x) + Cos(x)Sin(x) + Cos(x) – Cos(x)Sin(x) Cos 2 (x) 2Cos(x) = 2 = 2 Sec(x) Cos 2 (x) Cos(x)

23 $100 Question from Find all Solutions Cos(x) = -1 2

24 $100 Answer from Find all Solutions X = 2 ∏ + 2∏n 3 X = 4 ∏ + 2 ∏n 3

25 $200 Question from Find all Solutions Sin(x) = √2 2

26 $200 Answer from Find all Solutions X = ∏ + 2 ∏n 4 X = 3 ∏ + 2 ∏n 4

27 $300 Question from Find all Solutions 3Tan(x) = √3

28 $300 Answer from Find all Solutions X = ∏ + ∏n 6

29 $400 Question from Find all Solutions 2Sin(x) + √3 = 0

30 $400 Answer from Find all Solutions X = 4 ∏ + 2 ∏n 3 X = 5 ∏ + 2 ∏n 3

31 $500 Question from Find all Solutions Sin(x) + 6 = -5Sin(x)

32 $500 Answer from Find all Solutions X = 3 ∏ + 2 ∏n 2

33 $100 Question from Solutions with Multiple Angles [0, 2∏) Cos(2x) = -√2 2

34 $100 Answer from Solutions with Multiple Angles [0, 2∏) X = 3 ∏, 5 ∏, 11 ∏, 13 ∏ 8 8 8 8

35 $200 Question from Solutions with Multiple Angles [0, 2∏) Sin(3x) = √3 2

36 $200 Answer from Solutions with Multiple Angles [0, 2∏) X = ∏, 2 ∏, 7 ∏, 8 ∏, 13 ∏, 14 ∏ 9 9 9

37 $300 Question from Solutions with Multiple Angles [0, 2∏) Tan(4x) = -1

38 $300 Answer from Solutions with Multiple Angles [0, 2∏) X = 3 ∏, 7 ∏, 11 ∏, 15 ∏, 16 16 16 16 19 ∏, 23 ∏, 27 ∏, 31 ∏ 16 16 16 16

39 $400 Question from Solutions with Multiple Angles [0, 2∏) Tan(2x) = √3

40 $400 Answer from Solutions with Multiple Angles [0, 2∏) X = 2 ∏ 3

41 $500 Question from Solutions with Multiple Angles [0, 2∏) Cos(2X - ∏/4) = -√2 2

42 $500 Answer from Solutions with Multiple Angles [0, 2∏) X = ∏, 3 ∏, 3 ∏, 7 ∏ 2 4 2 4

43 $100 Question from Solutions with factoring [0, 2∏) (Tan(x) + 1)(Sin(x) – 1) = 0

44 $100 Answer from Solutions with factoring [0, 2∏) X = ∏, 3 ∏, 7 ∏ 2 4 4

45 $200 Question from Solutions with factoring [0, 2∏) (2Cos(x) - √3)(2Sin(x) + 1) = 0

46 $200 Answer from Solutions with factoring [0, 2∏) X = ∏, 7 ∏, 11 ∏ 6 6 6

47 $300 Question from Solutions with factoring [0, 2∏) 2Sin 2 (x) + Sin(x) – 1 = 0

48 $300 Answer from Solutions with factoring [0, 2∏) X = ∏, 5 ∏, 3 ∏ 6 6 2

49 $400 Question from Solutions with factoring [0, 2∏) Sin 2 (x) + 2Sin(x) – 3 = 0

50 $400 Answer from Solutions with factoring [0, 2∏) X = ∏ 2

51 $500 Question from Solutions with factoring [0, 2∏) 9Tan 2 (x) – 27 = 0

52 $500 Answer from Solutions with factoring [0, 2∏) X = ∏, 2∏, 4∏, 5∏ 3 3 3 3


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