Hallar, sin utilizar calculadora, el cuadrante y las razones trigonométricas de los siguientes ángulos:

a) 135°

Sen 135° = Sen 45° = frac{sqrt{2}}{2}

Cos 135° = -Cos 45° = -frac{sqrt{2}}{2}

Tag 135° = -Tag 45° = -1

Cotg 135° = -Cotg 45° = -1

Sec 135° = -Sec 45° = -sqrt{2}

Cosec 135° = Cosec 45° = sqrt{2}

tp2-ejer04-a

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b) 450°

Sen 450° = Sen (450°-360°) = Sen 90° = 1

Cos 450° = Cos (450°-360°) = Cos 90° = 0

Tag 450° = Tag (450°-360°) = Tag 90° = -

Cotg 450° = Cotg (450°-360°) = Cotg 90° = 0

Sec 450° = Sec (450°-360°) = Sec 90° = -

Cosec 450° = Cosec (450°-360°) = Cosec 90° = 1

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c) 210°

Sen 210° = -Sen (210°-180°) = -Sen 30° =

Cos 210° = -Cos (210°-180°) = -Cos 30° =

Tag 210° = Tag (210°-180°) = Tag 30° =

Cotg 210° = Cotg (210°-180°) = Cotg 30° =

Sec 210° = -Sec (210°-180°) = -Sec 30° =

Cosec 210° = -Cosec (210°-180°) = -Cosec 30° =

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d) -60°

Sen -60° = -Sen 60°

Cos -60° = Cos 60°

Tag -60° = -Tag 60°

Cotg -60° = -Cotg 60°

Sec -60° = Sec 60°

Cosec -60° = -Cosec 60°

tp2-ejer04-d

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