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Pre-AP Pre-Calculus

st

1

Semester Exam Review

Show all necessary work on your own paper. These problems are NON-Calculator!

A

B

NGLE

ASICS

1.

Draw the angle 8/3. Find two coterminal angles—1 positive, 1 negative. What is

its reference angle?

2.

Convert 140 into radians.

3.

Convert 2/9 into degrees.

= 325°, find

4.

ref

5.

Which trig functions are positive in Q IV? Which trig functions are positive in Q II?

sec = 5/2 and terminates in Q IV. Find csc .

6.

cos = 1/3 and terminates in Q I. Find cot .

7.

Find the coterminal angle of 140, where 360 720.

8.

9.

Find sec (-7/3).

10.

Find cot (13/6).

Point P is (-7, -4) and is on the terminal side of . Make of sketch of , ´, and the

11.

reference triangle. Find the exact (fraction) ratios of the six trig functions.

T

G

A

S

M

RIG

RAPHS

ND

INUSOIDAL

ODELS

12.

Determine whether the function is even, odd, or neither.

3

2

– 4

a) f(x) = x

b) g(x) = x

c) y = sin x

d) y = cos x

13.

Sketch a graph and list all transformations of y = 2 + 3 cos (

x

).

3

1

14.

Sketch a graph and list all transformations: f(x) = 3 + 2 sin

(

x

)

.

3

15.

Write an equation for each graph shown below:

a)

b)

y

y

4

200

100

2

x

0

-100

x

0

-200

16.

A mass suspended from a spring is pulled down a distance of 5 ft from its rest position.

The spring is released at time 0. The period is 1/9 cycle per hour. Sketch a graph and

write the equation that models the situation.

CALCULATOR – Round all answers to 0.001.

17.

Solve the following using algebraic methods.

a) Find f(x) for the given value.

b) Find the general solutions and the first 3 positive values of x for the given value of f(x)

f(x) = 3 + 2 sin

x

5

4

a) Find f(9)

b) f(x) = 3.5

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