Quiz about Trig Review

Question 1

If the terminal ray of $$ heta$$ passes through $$\left(-4,5 ight)$$ , find $$\csc heta$$

Accepted Answer

$$\frac{\sqrt[]{41}}{5}$$

Answer

$$-\frac{5}{4}$$

Answer

$$\frac{5}{3}$$

Answer

$$-\frac{\sqrt[]{41}}{4}$$

Question 2

A sector of a circle has radius of 9 and a central angle of 20^o.

Find the arc length.

Accepted Answer

$$\pi$$

Answer

$$18$$

Answer

$$9\pi$$

Answer

$$18\pi$$

Question 3

This is the graph of...

Accepted Answer

$$y=3\sin2x$$

Answer

$$y=3\cos2x$$

Answer

$$y=2\cos3x$$

Answer

$$y=2\sin3x$$

Question 4

Select all the Pythagorean Identities

Accepted Answer

$$\cos^2x+\sin^2=1$$

Accepted Answer

$$\sec^2x- an^2x=1$$

Accepted Answer

$$\csc^2x-\cot^2x=1$$

Answer

$$\cos^2x-\sin^2x=1$$

Answer

$$\csc^2x+\cot^2x=1$$

Question 5

How many solutions are there to $$\csc^2x=25\ on\ \left\{0\le x<2\pi\right\}$$

Accepted Answer

$$4$$

Answer

$$1$$

Answer

$$2$$

Answer

$$none$$

Question 6

Which of the following would find the measure of the largest angle in a triangle with sides 3, 6, 7

Accepted Answer

$$\cos heta=\frac{3^2+6^2-7^2}{2\cdot3\cdot6}$$

Answer

$$\cos heta=\frac{7^2+6^2-3^2}{2\cdot7\cdot6}$$

Answer

$$\sin heta=\frac{3^2+6^2-7^2}{2\cdot3\cdot6}$$

Answer

$$\sin heta=\frac{7^2+6^2-3^2}{2\cdot7\cdot6}$$

Question 7

$$\Delta ABC,\ \angle A=30\degree,\ a=10\ and\ b=10\sqrt[]{2}$$ ;

Find $$m\angle B$$

Accepted Answer

$$45\degree$$

Accepted Answer

$$135\degree$$

Answer

$$115\degree$$

Answer

$$60\degree$$

Question 8

How many solutions are there to $$\sin2x=\cos2x\ on\ \left\{0\le x<2\pi\right\}$$

Accepted Answer

$$4$$

Answer

$$2$$

Answer

$$6$$

Answer

$$8$$

Question 9

$$\sin\alpha=\frac{1}{2}\ and\ 0<\alpha<\frac{\pi}{2},\ find\ \sin2\alpha$$

Accepted Answer

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

Answer

$$1$$

Answer

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

Answer

$$\frac{\sqrt[]{3}}{4}$$

Question 10

Select all the coordinates equivalent to $$\left(-2,\frac{2\pi}{3}\right)$$

Accepted Answer

$$\left(2,\frac{5\pi}{3}\right)$$

Accepted Answer

$$\left(2,-\frac{\pi}{3}\right)$$

Accepted Answer

$$\left(-2,-\frac{4\pi}{3}\right)$$

Answer

$$\left(-2,-\frac{\pi}{3}\right)$$

Answer

$$\left(-2,\frac{5\pi}{3}\right)$$

Question 11

Question 11.

Accepted Answer

$$r=\sin2 heta$$

Answer

$$r=\sin4 heta$$

Answer

$$r=\cos2 heta$$

Answer

$$r=\cos4 heta$$

Question 12

$$z_1=\sqrt[]{2}+i\sqrt[]{2}\ and\ z_2=-3\sqrt[]{2}+3i\sqrt[]{2}\ $$

Find the polar form of $$\frac{z_1}{z_2}$$

Accepted Answer

$$\frac{1}{3}cis\left(-\frac{\pi}{2}\right)$$

Answer

$$-3cis0$$

Answer

$$12cis\pi$$

Answer

$$3cis\frac{\pi}{2}$$

Trig Review

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