Free Printable Unit 6 & 7 Test Review

1.

1. The depth of the water at a marker 20 feet from the shore in a bay is depicted in the graph below.If the depth, d, is measured in feet and time, t, is measured in hours since midnight, what is an equation for the depth of the water at the marker?

a)

$d=5\cos\left(\frac{\pi}{6}t\right)+9$

b)

$d=9\cos\left(\frac{\pi}{6}t\right)+5$

c)

$d=9\sin\left(\frac{\pi}{6}t\right)+5$

d)

$d=5\sin\left(\frac{\pi}{6}t\right)+9$

2.

The Ferris wheel at the landmark Navy Pier in Chicago takes 7 minutes to make one full rotation. The height, H, in feet, above the ground of one of the six-person cars can be modeled by H(t) , where t is time, in minutes. Using for one full rotation, this car's minimum height, in feet, is

H\left(t\right)=70\sin\left(\frac{2\pi}{7}\left(t-1.75\right)\right)+80

a)

150

b)

70

c)

10

d)

0

3.

In simplest form,

\frac{1-\sin^2\left(x\right)}{\sin^2\left(x\right)x}

a)

$\cot^2x$

b)

$-\tan^2x$

c)

$\tan^2x$

d)

$-\cot^2x$

4.

The expression

\sec\theta\cot\theta\sin\theta

is equivalent to

a)

$\tan^2x$

b)

$\tan x$

c)

1

d)

-1

5.

What is the exact value of cos(225^o)?

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$\frac{-1}{2}$

6.

What is the exact value of

\tan\left(\frac{5\pi}{6}\right)

?

a)

$-\sqrt{3}$

b)

$\sqrt{3}$

c)

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

d)

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

7.

If tan A = -5/12 and cosA >0, find sinA

a)

5/13

b)

12/13

c)

-5/13

d)

-12/13

8.

A sine function is graphed below. Determine the amplitude and period.

a)

A: 3 period: 1

b)

A: 2, period : 2Π

c)

A: 3, period : 2Π

d)

A: 2, period : 3Π

9.

Determine the exact value of csc P if P is an angle in standard position and its terminal side passes though the point (5, -8)

a)

$\frac{\sqrt{89}}{5}$

b)

$\frac{8\sqrt{89}}{89}$

c)

$\frac{\sqrt{89}}{8}$

d)

$-\frac{\sqrt{89}}{8}$

10.

Given tan A = 7/5 and A is in Quadrant III, find the exact value of csc A.

a)

$-\frac{7\sqrt{74}}{74}$

b)

$\frac{\sqrt{74}}{7}$

c)

$-\frac{\sqrt{74}}{7}$

d)

$-\frac{\sqrt{74}}{5}$

Unit 6 & 7 Test Review

Total questions: 10

Worksheet time: 20mins

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