A Review A Review GameGame

RulesRules: The first : The first team to legibly team to legibly write, write, graph, etc.graph, etc. the the complete, correct complete, correct answer gets a pointanswer gets a point..

If a team makes If a team makes an incorrect an incorrect guess, they are guess, they are “out” for that “out” for that question. question.

The game begins The game begins with person #1. with person #1. Turns rotate Turns rotate clockwise.clockwise.

Only the person Only the person whose turn it is whose turn it is can write! can write!

And the most And the most important rule….important rule….

Put The Top on Put The Top on the pen when the pen when you’re not you’re not writing!!!writing!!!

The Game The Game begins with begins with the next slide.the next slide.

Identify the equation of the trig function whose graph is pictured….

2

-2

-5 5

cos( )y x

6

4

2

-2

-4

-6

-10 -5 5 10

csc( )y x

2

-2

-5 5

tan( )y x

2

-2

-5 5

sin( )y x

2

-2

-5 5

cot( )y x

4

2

-2

-5 5

sec( )y x

Identify the Identify the coordinates of the coordinates of the indicated point: indicated point: (use radians)(use radians)

2

-2

-5 5

,02

4

2

-2

-5 5

, 1

2

-2

-5 5

3, 1

2

2

-2

-5 5

3,0

2

2

-2

-5 5

,0

Miscellaneous questions about the parent trig functions:

What is the Domain of y=sec(x) ?

2x x n

What is the Range of y=csc(x) ?

( , 1] [1, )

What is the Domain of y=cot(x) ?

x x n

What is the Range of y=cos(x) ?

[ 1,1]

What is the Range of y=tan(x) ?

( , )

What is the Domain of y=sin(x) ?

( , )

What two trig functions are EVEN?cos( ) sec( )y x and y x

Identify the quadrant(s) for which the following are true:

sec 0

sin 0

x

and

x

IV

tan 0

cos 0

x

and

x

II

csc 0

cos 0

x

and

x

I

cot 0

csc 0

x

and

x

III

cot 0

tan 0

x

and

x

&I III

sin 0

tan 0

x

and

x

II

cos 0

cot 0

x

and

x

III

cos 0

sec 0

x

and

x

none

Solve for the indicated value in simplest form. (But do not rationalize denominators)

Given:

Find:

2cot

3 2and

csc 13

3

Given:

Find:

5 3csc 2

2 2and

cos 21

5

Given:

Find:

1sin 0

3 2and

cos 2 7

9

Solve the equation for all x such that

0 2x

2sin 1 0x

7 11,

6 6

1sin

2x

24cos 3 0x

5 7 11, , ,6 6 6 6

3cos

2x

22cos cos 1 0x x

5, ,3 3

2cos 1 cos 1 0x x

Use identities to simplify the expression as far as possible:

2 2

2 2

sec tan

cot csc

x x

x x

1

1 1

sec tan sec tanx x x x

2sec x

sec cos

sin

x x

x

tan x

Identify the special angle pictured. Answer in radians between [0,2 ]

7

6

3

7

4

5

6

3

2

2

3

5

3

11

6

5

4

4

3

7

4

Identify the sine or cosine value of the special angle given.

5sin

4

2

2

11cos

6

3

2

5sin

6

1

2

cos 2 1

sin 0

5cos

3

1

2

2sin

3

3

2

cos4

2

2

4sin

3

3

2

5cos

4

2

2

2cos

3

1

2

3sin

4

2

2

cos6

3

2

3sin

2

1

cos3

1

2

5sin

3

3

2

cos2

0

11sin

6

1

2

3cos

4

2

2

sin 2 0

5cos

6

3

2

7sin

4

2

2

cos 1

7sin

6

1

2

7cos

6

3

2

sin4

2

2

4cos

3

1

2

sin2

1

3cos

2

0

sin6

1

2

7cos

4

2

2

cos( 2 ) 1