unit 5 test

unit circle application

100

use a unit circle to answer the following question

sin- 5(3.14)/6

-1/2

200

which of the coordinates is equal to sin (90)? 

y- coordinate of point a

300

use a unit circle to define the following question

cos (3.14)/2

0

400

which quadrant do these angles lay in

7(3.14)/5

q3

500

how do you determine the quadrant the angle lays in

-(3.14)/12

q4

trig identites

100

simplify the expression 

cos0tan0csc0

1

200

simplify the expression

csc0-1

cot0

300

find the value

cos(-1) 0

(3.14)/2

400

find the value

tan (-1) 1 

(3.14)/4

500

solve expression

sec(-1) (-4)

cos(-1) (1/-4)

linear trig equations

100

solve each equation for 0_<0<360

tan 0=1

200

solve each equation for 0 _<0<2(3.14)

1/2= cos0

300

solve the linear trig equation 

sin30+x/8

4

400

solve linear equation

9 sec 60 +2 

4x-4

500

solve liner trig

7-8x=cot90+47 

4

quadratic trig factoring

100

solve and find the interval

2cosx+4=5

x=60

x=300

200

solve and find interval

2sin x-1=0

x=30

x=150

300

solve using interval (0,2(3.14)

4csc(2)x-2=0

no solution

400

give a general solution

4 sin (2) x-2=0

sin(2) x= 1/2

500

give a solution

3tanx-/3=0

tanx3/2

trig models

100

find the amplitude 

y=2 sin (1/4x)

2

200

find the amplitude

y=-3sin (2x=(3.14)/2)

3

300

find the amplitude

y=cos x=3

1

400

find the amplitude and period 

y=-4cos((3.14))x)

amplitude is 4 and period is 2 

500

find the amplitude and period 

y=3sin(3x) 

amplitude is 3 and period is 2/3