Trigonométrie - Rapports trigonométriques

Exercice 1

Cochez la bonne réponse.

1. • \(\dfrac{\text{opp}}{\text{hyp}}\)

   • \(\dfrac{\text{opp}}{\text{adj}}\)

   • \(\dfrac{\text{adj}}{\text{hyp}}\)

   • \(\dfrac{\text{adj}}{\text{opp}}\)

   • \(\dfrac{\text{hyp}}{\text{opp}}\)

   • \(\dfrac{\text{hyp}}{\text{adj}}\)

   \(\sin(\alpha) =\)

2. • \(\dfrac{\text{opp}}{\text{hyp}}\)

   • \(\dfrac{\text{opp}}{\text{adj}}\)

   • \(\dfrac{\text{adj}}{\text{hyp}}\)

   • \(\dfrac{\text{adj}}{\text{opp}}\)

   • \(\dfrac{\text{hyp}}{\text{opp}}\)

   • \(\dfrac{\text{hyp}}{\text{adj}}\)

   \(\cos(\alpha) =\)

3. • \(\dfrac{\text{opp}}{\text{hyp}}\)

   • \(\dfrac{\text{opp}}{\text{adj}}\)

   • \(\dfrac{\text{adj}}{\text{hyp}}\)

   • \(\dfrac{\text{adj}}{\text{opp}}\)

   • \(\dfrac{\text{hyp}}{\text{opp}}\)

   • \(\dfrac{\text{hyp}}{\text{adj}}\)

   \(\tan(\alpha) =\)

Exercice 2

Cochez la bonne réponse en fonction du schéma suivant:

1. • \(\dfrac{a}{c}\)

   • \(\dfrac{a}{b}\)

   • \(\dfrac{b}{c}\)

   • \(\dfrac{b}{a}\)

   • \(\dfrac{c}{a}\)

   • \(\dfrac{c}{b}\)

   \(\tan(\alpha) =\)

2. • \(\dfrac{a}{c}\)

   • \(\dfrac{a}{b}\)

   • \(\dfrac{b}{c}\)

   • \(\dfrac{b}{a}\)

   • \(\dfrac{c}{a}\)

   • \(\dfrac{c}{b}\)

   \(\cos(\beta) =\)

3. • \(\dfrac{a}{c}\)

   • \(\dfrac{a}{b}\)

   • \(\dfrac{b}{c}\)

   • \(\dfrac{b}{a}\)

   • \(\dfrac{c}{a}\)

   • \(\dfrac{c}{b}\)

   \(\sin(\beta) =\)

4. • \(\dfrac{a}{c}\)

   • \(\dfrac{a}{b}\)

   • \(\dfrac{b}{c}\)

   • \(\dfrac{b}{a}\)

   • \(\dfrac{c}{a}\)

   • \(\dfrac{c}{b}\)

   \(\cos(\alpha) =\)

5. • \(\dfrac{a}{c}\)

   • \(\dfrac{a}{b}\)

   • \(\dfrac{b}{c}\)

   • \(\dfrac{b}{a}\)

   • \(\dfrac{c}{a}\)

   • \(\dfrac{c}{b}\)

   \(\tan(\beta) =\)

6. • \(\dfrac{a}{c}\)

   • \(\dfrac{a}{b}\)

   • \(\dfrac{b}{c}\)

   • \(\dfrac{b}{a}\)

   • \(\dfrac{c}{a}\)

   • \(\dfrac{c}{b}\)

   \(\sin(\alpha) =\)

Exercice 3

Cochez la bonne réponse en fonction du schéma suivant:

1. • \(\dfrac{y}{x}\)

   • \(\dfrac{y}{z}\)

   • \(\dfrac{z}{x}\)

   • \(\dfrac{z}{y}\)

   • \(\dfrac{x}{y}\)

   • \(\dfrac{x}{z}\)

   \(\sin(\gamma) =\)

2. • \(\dfrac{y}{x}\)

   • \(\dfrac{y}{z}\)

   • \(\dfrac{z}{x}\)

   • \(\dfrac{z}{y}\)

   • \(\dfrac{x}{y}\)

   • \(\dfrac{x}{z}\)

   \(\cos(\delta) =\)

3. • \(\dfrac{y}{x}\)

   • \(\dfrac{y}{z}\)

   • \(\dfrac{z}{x}\)

   • \(\dfrac{z}{y}\)

   • \(\dfrac{x}{y}\)

   • \(\dfrac{x}{z}\)

   \(\tan(\gamma) =\)

4. • \(\dfrac{y}{x}\)

   • \(\dfrac{y}{z}\)

   • \(\dfrac{z}{x}\)

   • \(\dfrac{z}{y}\)

   • \(\dfrac{x}{y}\)

   • \(\dfrac{x}{z}\)

   \(\cos(\gamma) =\)

5. • \(\dfrac{y}{x}\)

   • \(\dfrac{y}{z}\)

   • \(\dfrac{z}{x}\)

   • \(\dfrac{z}{y}\)

   • \(\dfrac{x}{y}\)

   • \(\dfrac{x}{z}\)

   \(\tan(\delta) =\)

6. • \(\dfrac{y}{x}\)

   • \(\dfrac{y}{z}\)

   • \(\dfrac{z}{x}\)

   • \(\dfrac{z}{y}\)

   • \(\dfrac{x}{y}\)

   • \(\dfrac{x}{z}\)

   \(\sin(\delta) =\)

Exercice 4

Cochez la bonne réponse en fonction du schéma suivant:

1. • \(\sin(\alpha)\)

   • \(\sin(\beta)\)

   • \(\cos(\alpha)\)

   • \(\cos(\beta)\)

   • \(\tan(\alpha)\)

   • \(\tan(\beta)\)

   \(\dfrac{a}{c}\)

2. • \(\sin(\alpha)\)

   • \(\sin(\beta)\)

   • \(\cos(\alpha)\)

   • \(\cos(\beta)\)

   • \(\tan(\alpha)\)

   • \(\tan(\beta)\)

   \(\dfrac{a}{b}\)

3. • \(\sin(\alpha)\)

   • \(\sin(\beta)\)

   • \(\cos(\alpha)\)

   • \(\cos(\beta)\)

   • \(\tan(\alpha)\)

   • \(\tan(\beta)\)

   \(\dfrac{b}{c}\)

4. • \(\sin(\alpha)\)

   • \(\sin(\beta)\)

   • \(\cos(\alpha)\)

   • \(\cos(\beta)\)

   • \(\tan(\alpha)\)

   • \(\tan(\beta)\)

   \(\dfrac{b}{a}\)

Exercice 5

Cochez la bonne réponse en fonction du schéma suivant:

1. • \(\sin(\gamma)\)

   • \(\sin(\delta)\)

   • \(\cos(\gamma)\)

   • \(\cos(\delta)\)

   • \(\tan(\gamma)\)

   • \(\tan(\delta)\)

   \(\dfrac{x}{z}\)

2. • \(\sin(\gamma)\)

   • \(\sin(\delta)\)

   • \(\cos(\gamma)\)

   • \(\cos(\delta)\)

   • \(\tan(\gamma)\)

   • \(\tan(\delta)\)

   \(\dfrac{z}{y}\)

3. • \(\sin(\gamma)\)

   • \(\sin(\delta)\)

   • \(\cos(\gamma)\)

   • \(\cos(\delta)\)

   • \(\tan(\gamma)\)

   • \(\tan(\delta)\)

   \(\dfrac{z}{x}\)

4. • \(\sin(\gamma)\)

   • \(\sin(\delta)\)

   • \(\cos(\gamma)\)

   • \(\cos(\delta)\)

   • \(\tan(\gamma)\)

   • \(\tan(\delta)\)

   \(\dfrac{x}{y}\)