Quiz about Funcții trigonometrice inverse. Ecuații trigonometrice

Question 1

$$Valoarea\ calculului\ \sin\left(\arcsin\ \frac{1}{2}+\arccos\ \frac{1}{2}\right)\ este:$$

Accepted Answer

1

Answer

0

Answer

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

Answer

-1

Question 2

$$Valoarea\ calculului\ tg\left(ar\operatorname{ctg}\ \frac{1}{2}+ar\operatorname{ctg}\ \frac{1}{3}\right)\ este:$$

Accepted Answer

1

Answer

3

Answer

$$\frac{1}{3}$$

Answer

2

Question 3

Valoarea calculului $$\cos\left(\arcsin\ \frac{1}{3}\ +\ \arcsin\ \frac{4}{5}\right)\ este:$$

Accepted Answer

$$\frac{6\sqrt[]{2}-4}{15}$$

Answer

$$\frac{2\sqrt[]{2}-4}{15}$$

Answer

$$\frac{6\sqrt[]{2}+4}{15}$$

Answer

$$\frac{6\sqrt[]{3}-4}{15}$$

Question 4

Valoarea calculului $$tg\left(ar\operatorname{ctg}\ 3\ +ar\operatorname{ctg}\ \frac{1}{3}\right)\ este:$$

Accepted Answer

Nu are sens

Answer

0

Answer

1

Answer

3

Question 5

$$\sin\left(2\arcsin x\right)$$ are valoarea:

Accepted Answer

$$2x\sqrt[]{1-x^2}$$

Answer

$$x\sqrt[]{1-x^2}$$

Answer

$$\frac{x}{2}\sqrt[]{1-x^2}$$

Answer

$$2x\left(1-x^2\right)$$

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