Quiz about Goniometria: Angoli Associati

Question 1

$$sen\left(x+\pi\right)=$$

Accepted Answer

$$-sen\ x$$

Answer

$$\cos x$$

Answer

$$sen\ x$$

Answer

$$-\cos x$$

Question 2

La funzione $$\sin x\ $$ equivale a

Accepted Answer

$$\cos\left(\frac{\pi}{2}-x\right)$$

Answer

$$1-\cos^2x$$

Answer

$$\frac{1}{\cos x}$$

Answer

$$1-\cos x$$

Question 3

Quanto vale $$\sin\left(\frac{3}{2}\pi+\alpha\right)$$ ?

Accepted Answer

$$\cos\alpha$$

Answer

$$-\cos\alpha$$

Answer

$$-\sin\alpha$$

Answer

$$\sin\alpha$$

Question 4

Calcolare il valore di $$\sin\left(\frac{11}{6}\pi\right)$$

Accepted Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$-\frac{\sqrt[]{3}}{2}$$

Answer

$$\frac{\sqrt[]{3}}{2}$$

Question 5

Due angoli minori di un angolo piatto hanno lo stesso seno:

Accepted Answer

se sono supplementari

Answer

se sono complementari

Answer

se differiscono di $$\pi\ radianti$$

Answer

solo se sono lo stesso angolo

Question 6

Quanto vale $$\sin\ \frac{3}{4}\pi$$ ?

Accepted Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

$$-\frac{\sqrt[]{2}}{2}$$

Answer

$$\sqrt[]{2}$$

Answer

1

Question 7

La retta $$y=2x+5$$ forma con il semiasse positivo delle $$x$$ un angolo il cui coseno vale

Accepted Answer

$$\frac{\sqrt[]{5}}{5}$$

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

$$\frac{2\sqrt[]{3}}{3}$$

Answer

$$\frac{2\sqrt[]{5}}{5}$$

Question 8

Sia $$\sin x=\frac{1}{10}$$ , calcolare $$\cos\left(\frac{\pi}{2}-x\right)$$

Accepted Answer

$$\frac{1}{10}$$

Answer

$$\frac{9}{10}$$

Answer

$$\frac{\sqrt[]{10}}{9}$$

Answer

$$\frac{1}{\sqrt[]{10}}$$

Question 9

In un triangolo rettangolo l'ipotenusa vale 10cm e un cateto vale 5cm. Quanto vale l'angolo opposto al cateto?

Accepted Answer

$$\frac{\pi}{6}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{\sqrt[]{3}}{2}$$

Answer

$$\frac{\pi}{3}$$

Question 10

Calcolare il valore di $$\sin\ \frac{\pi}{6}+\cos\ \frac{2}{3}\pi$$

Accepted Answer

0

Answer

$$1$$

Answer

$$\frac{1+\sqrt[]{3}}{2}$$

Answer

$$\frac{1-\sqrt[]{3}}{2}$$

Question 11

Quali delle seguenti terne di numeri rappresenta le misure in radianti degli angoli interni di un triangolo?

Accepted Answer

$$\frac{3}{7}\pi,\ \frac{2}{5}\pi,\ \frac{6}{35}\pi$$

Answer

$$\frac{1}{8}\pi,\ \frac{3}{5}\pi,\ \frac{7}{40}\pi$$

Answer

$$\frac{6}{7}\pi,\ \frac{4}{5}\pi,\ \frac{12}{35}\pi$$

Answer

$$\frac{5}{3}\pi,\ \frac{2}{3}\pi,\ \frac{2}{3}\pi$$

Question 12

Individua tra le seguenti uguaglianze quelle False?

Accepted Answer

$$\sin^2\left(-\frac{\pi}{6}\right)=\sin^2\left(\frac{\pi}{6}\right)$$

Accepted Answer

$$\cos^2\left(-\frac{\pi}{5}\right)=-\cos^2\left(\frac{\pi}{5}\right)$$

Accepted Answer

$$\sin\left(\frac{\pi}{8}\right)=\sin\left(2\pi-\frac{\pi}{8}\right)$$

Answer

$$\sin^2\left(-\frac{\pi}{6}\right)+\cos^2\left(-\frac{\pi}{6}\right)=1$$

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