Free Printable test goniometria II parte 4M 24-25

1.

$\cos(180°-\alpha)+\cos(180°+\alpha)-\cos(360°-\alpha$

a)

$-\ 3\cos\ \alpha$

b)

$3\ \cos\ \alpha$

c)

$\cos\ \alpha$

d)

$-\ \cos\ \alpha$

2.

$\cos\left(\frac{3}{2}\pi-\alpha\right)\cdot\sin\left(\frac{3}{2}\pi+\alpha\right)+\cos\left(\frac{3}{2}\pi+\alpha\right)\cdot\sin\left(\frac{3}{2}\pi-\alpha\right)=...$

a)

$0$

b)

$1$

c)

$-1$

d)

$\pi$

3.

Quale funzione goniometrica non ha un periodo di 2𝛑?

a)

y = cos x

b)

y = sin x

c)

y = tan x

4.

sen (π + α) = sen α

a)

Vero

b)

Falso

5.

cos (π + α) = cos α

a)

Vero

b)

Falso

6.

tg (π - α) = tg α

a)

Vero

b)

Falso

7.

$sen\left(-\alpha\right)=?$

a)

$\cos\alpha$

b)

$sen\alpha$

c)

$-\cos\alpha$

d)

$-sen\alpha$

8.

$sen\left(\frac{\pi}{2}-\alpha\right)=?$

a)

$\cos\alpha$

b)

$-sen\alpha$

c)

$sen\alpha$

d)

$-\cos\alpha$

9.

quale angolo associato è mostrato in figura?

a)

$\pi-\alpha$

b)

$\pi+\alpha$

c)

$\frac{\pi}{2}-\alpha$

d)

$\frac{\pi}{2}+\alpha$

10.

$sen\left(\frac{\pi}{2}+\alpha\right)=?$

a)

$\cos\alpha$

b)

$-sen\alpha$

c)

$sen\alpha$

d)

$-\cos\alpha$

11.

$tg\left(\pi+\alpha\right)=?$

a)

$-tg\alpha$

b)

$1+tg\alpha$

c)

$tg\alpha$

d)

$\operatorname{ctg}\alpha$

12.

$sen\left(-\alpha\right)+\cos\left(\pi-\alpha\right)=$

a)

$sen\alpha+\cos\alpha$

b)

$-sen\alpha+\cos\alpha$

c)

$-\left(sen\alpha+\cos\alpha\right)$

d)

$sen\alpha-\cos\alpha$

13.

Quale tra le seguenti espressioni non è equivalente a $-\sin\left(\alpha+\frac{3}{2}\pi\right)$ ?

a)

$\cos\left(-\alpha\right)$

b)

$\sin\left(\pi-\alpha\right)$

c)

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

d)

$-\cos\left(\alpha-\pi\right)$

14.

Individua tra le seguenti uguaglianze quelle False?

a)

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

b)

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

c)

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

d)

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

15.

$\cos\left(-\alpha\right)=?$

a)

$\cos\alpha$

b)

$sen\alpha$

c)

$-\cos\alpha$

d)

$-sen\alpha$

16.

quale angolo associato è mostrato in figura?

a)

$\pi-\alpha$

b)

$\pi+\alpha$

c)

$\frac{\pi}{2}-\alpha$

d)

$\frac{\pi}{2}+\alpha$

17.

$tg\left(\pi+\alpha\right)=?$

a)

$-tg\alpha$

b)

$1+tg\alpha$

c)

$tg\alpha$

d)

$\operatorname{ctg}\alpha$

18.

$-tg\alpha=?$

a)

$tg\left(\alpha\right)$

b)

$tg\left(-\alpha\right)$

c)

$\operatorname{ctg}\left(-\alpha\right)$

d)

$-\cos\alpha$

19.

$sen\left(-\alpha\right)+\cos\left(\pi-\alpha\right)=$

a)

$sen\alpha+\cos\alpha$

b)

$-sen\alpha+\cos\alpha$

c)

$-\left(sen\alpha+\cos\alpha\right)$

d)

$sen\alpha-\cos\alpha$

20.

$\ tg\left(\frac{\pi}{2}-\alpha\right)\cdot tg\ \left(-\alpha\right)=?$

a)

$1$

b)

$-1$

c)

$\cos\alpha$

d)

$sen\alpha$

21.

Individua tra le seguenti uguaglianze quelle False?

a)

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

b)

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

c)

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

d)

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

22.

$sen\left(-\alpha\right)=?$

a)

$\cos\alpha$

b)

$sen\alpha$

c)

$-\cos\alpha$

d)

$-sen\alpha$

23.

$sen\left(\frac{\pi}{2}-\alpha\right)=?$

a)

$\cos\alpha$

b)

$-sen\alpha$

c)

$sen\alpha$

d)

$-\cos\alpha$

24.

$sen\left(-\alpha\right)+\cos\left(\pi-\alpha\right)=$

a)

$sen\alpha+\cos\alpha$

b)

$-sen\alpha+\cos\alpha$

c)

$-\left(sen\alpha+\cos\alpha\right)$

d)

$sen\alpha-\cos\alpha$

25.

$\ tg\left(\frac{\pi}{2}-\alpha\right)\cdot tg\ \left(-\alpha\right)=?$

a)

$1$

b)

$-1$

c)

$\cos\alpha$

d)

$sen\alpha$

26.

se $\sin\left(\alpha\right)=\frac{7}{25}$ con $0<\alpha<\frac{\pi}{2}$ allora $\cos\left(\alpha\right)$ vale

a)

1

b)

$\frac{24}{25}$

c)

$-\frac{24}{25}$

d)

non si può calcolare

27.

$\sin\alpha=-\frac{1}{3}$ e $\pi\le\alpha\le\frac{3}{2}\pi$ quanto vale $\cos\alpha$ ?

a)

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

b)

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

c)

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

d)

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

28.

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

a)

$\cos x$

b)

$\operatorname{cosec}x$

c)

$\sec x$

d)

$\cot x$

test goniometria II parte 4M 24-25

Total questions: 28

Worksheet time: 35mins

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