Trigonometric values on the unit circle Quiz 1

Question 1

What is $$\sqrt{2}$$ times $$\sin \left( {{2.35}^{c}} ight)$$ ? $$	ext{(Use approximations)}$$

Accepted Answer

$$1$$

Answer

$$\sqrt{2}$$

Answer

$$2\sqrt{2}$$

Answer

$$2$$

Question 2

What is the sum of $$3	an \left( \dfrac{5\pi }{6} ight)$$ and $$\cot \left( \dfrac{3\pi }{4} ight)$$.

Accepted Answer

$$-\sqrt{3}-1$$

Answer

$$-\dfrac{1}{\sqrt{3}}-1$$

Answer

$$-\dfrac{1}{\sqrt{3}}+\sqrt{2}$$

Answer

$$-\dfrac{1}{\sqrt{3}}-\sqrt{2}$$

Question 3

The value of $$\dfrac{1}{4}\sin \left( \dfrac{3\pi }{2} \right)-\dfrac{1}{\sqrt[3]{5}}\cos \left( \dfrac{3\pi }{2} \right)$$ is

Accepted Answer

$$-\dfrac{1}{4}$$

Answer

$$-\dfrac{1}{\sqrt[3]{5}}$$

Answer

$$\dfrac{1}{\sqrt[3]{5}}$$

Answer

$$\dfrac{1}{4}$$

Question 4

What is the difference between the product of $$\sin \left( \dfrac{\pi }{2} \right)$$ , $$\sin \left( \dfrac{3\pi }{2} \right)$$  and product of $$\cos \left( \dfrac{5\pi }{6} \right),\cos \left( \dfrac{7\pi }{6} \right)$$

Accepted Answer

$$-\dfrac{7}{4}$$

Answer

$$\dfrac{7}{6}$$

Answer

$$\dfrac{2}{\sqrt{3}}$$

Answer

$$\dfrac{2}{3\sqrt{3}}$$

Question 5

What will be the value of derivative of $${{	an }^{2}}x$$ when$$x=210{}^\circ $$.

Accepted Answer

$$\dfrac{8}{3\sqrt{3}}$$

Answer

$$\dfrac{1}{3\sqrt{3}}$$

Answer

$$\dfrac{5}{3\sqrt{3}}$$

Answer

$$\dfrac{10}{3\sqrt{3}}$$