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4.3 Right Triangle Trigonometry

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Presentation on theme: "4.3 Right Triangle Trigonometry"— Presentation transcript:

1 4.3 Right Triangle Trigonometry
Trigonometric Identities

2 The part of a Right Triangle with respect to an angle
Adjacent, Opposite and Hypotenuse.

3 Trig functions defined using the parts of the right triangle
Sine, Cosine, Tangent, Cosecant, Secant and Cotangent

4 Sin 60º = Cos 30º If < 90º

5 Cofunctions of complementary A.
Sin 42º= Cos(90º - 42º) = Cos 48º

6 Trigonometric Identities
Some basic identities

7 Trigonometric Identities
Very important identity And the identities that you can find

8 Angle of elevation or Angle of depression
the angle it rise from horizontal Angle of depression: the angle it drops from horizontal

9 What is the Angle of elevation
Find

10 Find

11 Prove a Trigonometric Identity
Work only on one side

12 Prove a Trigonometric Identity
Work only on one side

13 Prove a Trigonometric Identity
Work only on one side

14 Prove a Trigonometric Identity
Work only on one side

15 Prove a Trigonometric Identity
Work only on one side

16 Prove a Trigonometric Identity
Work only on one side

17 Prove a Trigonometric Identity
Work only on one side

18 Homework Page # 3, 9, 15, 18, 21, 25, 31, 36, 40, 46, 48, 51, 55, 57, 61, 66, 71, 74, 82, 86

19 Homework Page # 6, 12, 17, 20, 24, 28, 34, 37, 44, 47, 50 54, 56, 60, 65, 68, 72, 75, 84


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