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The Inverse Sine, Cosine and Tangent Function

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Presentation on theme: "The Inverse Sine, Cosine and Tangent Function"— Presentation transcript:

1 The Inverse Sine, Cosine and Tangent Function
Chapter 3 Section 1

2 Inverse Review From Section 1.7
If a function is one-to-one it will have an inverse If a function is not one-to-one, restrict the domain

3

4 Inverse Sine Function Not one-to-one

5 Inverse Sine Function Restrict Domain

6 Inverse Sine Function

7 Inverse Sine Function

8 Reminder

9

10 Inverse Sine

11 Finding Exact Value of Inverse Sine

12 Finding Exact Value of Inverse Sine

13 Finding Exact Value of Inverse Sine

14 Finding Exact Value of Inverse Sine
Sine is the y value

15 Finding Exact Value of Inverse Sine

16 Finding Exact Value of Inverse Sine
Restrict domain to make one-to-one

17 Finding Exact Value of Inverse Sine
Restrict domain to make one-to-one

18 Finding Approximate Value of Inverse Sine

19 Finding Approximate Value of Inverse Sine

20 Finding Approximate Value of Inverse Sine

21 Properties of Inverse Functions

22 Properties of Inverse Functions

23 Properties of Inverse Functions

24 Properties of Inverse Functions

25 Properties of Inverse Functions
Notice the difference?

26 Find Exact value

27 Find Exact value

28 Find Exact value

29 Find Exact value

30 Find Exact value

31 Find exact value

32 Find exact value

33 Find exact value

34 Find exact value Not in domain

35 Inverse Cosine Not one-to-one

36 Inverse Cosine

37 Inverse Cosine

38 Inverse Cosine

39

40 Find Exact Value Inverse Cosine

41 Restrict domain to make one-to-one

42 Restrict domain to make one-to-one

43 Same inverse properties

44 Find Exact Value

45 Is this in the domain?

46 Is this in the domain?

47 Find Exact Value

48 Find Exact Value

49 Find Exact Value

50 Find Exact Value

51 Find Exact Value

52 Inverse Tangent

53 Inverse Tangent

54

55 Find Exact Value

56 Find Exact Value

57 Find Exact Value

58 Find Exact Value

59 Find Exact Value

60 Find Exact Value

61 Find Exact Value

62 Inverse Tangent Properties

63 Inverse Tangent Properties

64 Inverse Tangent Properties

65 Inverse Tangent Properties

66 Inverse Tangent Properties

67 Inverse Tangent Properties

68 Find Trig Function’s Inverse

69 Find Range

70 Solving Equation with Inverses


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