4.3 Right Triangle Trigonometry Trigonometric Identities.

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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

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

What is the Angle of elevation 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 #3, 9, 15, 18, 21, 25, 31, 36, 40, 46, 48, 51, 55, 57, 61, 66, 71, 74, 82, 86

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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