4.3 Right Triangle Trigonometry

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Presentation transcript:

4.3 Right Triangle Trigonometry Trigonometric Identities

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

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

Sin 60º = Cos 30º If < 90º

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

Trigonometric Identities Some basic identities

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

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

What is the Angle of elevation Find

Find

Prove a Trigonometric Identity Work only on one side

Prove a Trigonometric Identity Work only on one side

Prove a Trigonometric Identity Work only on one side

Prove a Trigonometric Identity Work only on one side

Prove a Trigonometric Identity Work only on one side

Prove a Trigonometric Identity Work only on one side

Prove a Trigonometric Identity Work only on one side

Homework Page 287- 290 # 3, 9, 15, 18, 21, 25, 31, 36, 40, 46, 48, 51, 55, 57, 61, 66, 71, 74, 82, 86

Homework Page 287- 290 # 6, 12, 17, 20, 24, 28, 34, 37, 44, 47, 50 54, 56, 60, 65, 68, 72, 75, 84