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Trigo 11º: Desafios

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Trigo 11º: Desafios

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Quiz de trigonometria nível 11º

Created by

Cristina Moura
Cristina Moura
Portugal

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Trigo 11º: Desafios
 

Trigo 11º: DesafiosOnline version

Quiz de trigonometria nível 11º

by Cristina Moura
1

Qual é o seno de 30° na circunferência unitária?

2

A tangente de 45° vale:

3

Qual é o coseno de 0°?

4

Se seno θ = 0,5 e θ está no intervalo [0°,180°], quais são possíveis θ?

5

Identidade pitagórica básica: seno²θ + cos²θ =

6

Qual é o valor de sec(60°)?

7

Se cos θ = 0,5 e θ está no 1º quadrante, qual é θ?

8

Qual é a relação entre cotangente e tangente?

9

Resolver triângulo reto: cateto adjacente=4, cateto oposto=3, qual é a hipotenusa?

10

Qual é o valor exato de sin(π/6)?

Explicação

Seno(30°)=oposto/hipotenusa = 1/2; o valor √3/2 é para 60°, 0 para 0°, -1/2 para 330°.

Tangente de 45° é razão seno/coseno igual a 1.

Cos(0)=1; sinuamente, sen(0)=0.

Seno positivo no 1º e 2º quadrante. 0°,180° têm seno 0.

Para qualquer ângulo, seno²+cos²=1.

Secante é 1/cos; cos(60°)=1/2, logo sec=2.

Cos positivo no 1º quadrante; cos60=0,5.

Cotangente é cos/sin; equivalência é 1/tan.

Teorema de Pitágoras: h² = 3²+4² = 25 → h=5.

Seno de π/6 (30°) é 1/2; √3/2 é para 60°.

 
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