Quiz about AP Precalc Review 3.8-3.12

Question 1

What is csc(x) equivalent to?

Accepted Answer

1/sin(x)

Answer

1/tan(x)

Answer

sin(x)

Answer

1/cos(x)

Question 2

1 - sin²x =

Accepted Answer

cos2x

Answer

cos2x+1

Answer

csc2x

Answer

tan2x

Question 3

Which of the following is NOT a Pythagorean identity?

Accepted Answer

sin²x - cos²x = -1

Answer

sin²x + cos²x = 1

Answer

1 - cos²x = sin²x

Answer

1 - sin²x = cos² x

Question 4

Simplify!

Accepted Answer

1

Answer

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

Answer

cot x

Answer

-1

Question 5

1. Find the phase shift of the graph of the function
$$y=2\cos⁡6(x+\frac{\pi}{6})$$

Accepted Answer

$$\frac{\pi}{6}$$ units left

Answer

$$\pi$$ units right

Answer

$$\frac{\pi}{6}$$ units right

Answer

undefined units left

Question 6

What is the equation for the vertical asymptote of y = sec (2x)?

Accepted Answer

$$x=\frac{\pi}{4}+\frac{\pi}{2}n$$

Answer

$$x=\frac{\pi}{2}+\frac{\pi}{4}n$$

Answer

$$x=\frac{\pi}{4}+2\pi n$$

Answer

$$x=\frac{\pi}{2}+\pi n$$

Question 7

Solve equation for $$0\le heta<2\pi$$ .
$$-1-2\sec^2 heta=-3\sec^2 heta$$

Accepted Answer

$$ heta=0,\pi$$

Answer

$$ heta=0,\pi,\frac{4\pi}{3}$$

Answer

$$ heta=0$$

Answer

$$ heta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$$

Question 8

Solve equation for $$0\le heta<2\pi$$ .
$$-3=\cot^2 heta-6$$

Accepted Answer

$$ heta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}$$

Answer

$$ heta=\frac{\pi}{6},\frac{7\pi}{4},\frac{11\pi}{6}$$

Answer

$$ heta=\frac{7\pi}{6},\frac{5\pi}{4},\frac{11\pi}{6}$$

Answer

$$ heta=\frac{\pi}{6},\frac{7\pi}{6}$$

Question 9

Solve equation for $$0\le heta<2\pi$$ .
$$0=-\sqrt{3}\sin heta-2\sin^2 heta$$

Accepted Answer

$$ heta=0,\pi,\frac{4\pi}{3},\frac{5\pi}{3}$$

Answer

$$ heta=0,\frac{2\pi}{3},\pi,\frac{5\pi}{3}$$

Answer

$$ heta=\frac{\pi}{2},\frac{7\pi}{6},\frac{3\pi}{2},\frac{11\pi}{6}$$

Answer

$$ heta=0,\pi,\frac{5\pi}{3}$$

Question 10

Solve equation for $$0\le heta<2\pi$$ .

$$6\cos\left( heta+\pi ight)=-3\sqrt{3}$$

Accepted Answer

$$\left\{\frac{\pi}{6},\frac{11\pi}{6}\right\}$$

Answer

$$\left\{\frac{5\pi}{6},\ \frac{7\pi}{6}\right\}$$

Answer

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

Answer

$$\left\{\frac{\pi}{3},\ \frac{5\pi}{3}\right\}$$

Question 11

Solve: $$\cos heta\ge-\frac{\sqrt[]{2}}{2}$$

Accepted Answer

$$\left[0,\frac{3\pi}{4}\right]U\left[\frac{5\pi}{4},2\pi\right)$$

Answer

$$\left[\frac{3\pi}{4},\frac{5\pi}{4}\right]$$

Answer

$$\left[0,\frac{\pi}{4}\right]U\left[\frac{7\pi}{4},2\pi\right)$$

Answer

$$\left[\frac{\pi}{4},\frac{7\pi}{4}\right]$$

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