[ALG2] The Unit Circle - TRIG

Question 1

radians to degrees

Answer 1

180/pi

Question 2

degrees to radians

Answer 2

pi/180

Question 3

acronym for the quadrants

Answer 3

All (all)
Students (sine)
Take (tangent)
Calculus (cosine)

Question 4

trick for 30/45/60 degrees

Answer 4

1) put 30, 45, 60
2) write 123 going down
3) write 123 going up
4) put everything over 2
5) put radicals in all numerators (1 is already a square root)

Question 5

cosecant is the inverse of

Answer 5

sine

Question 6

secant is the inverse of

Answer 6

cosine

Question 7

cotangent is the inverse of

Answer 7

tangent

Question 8

sin, cos, tan at 0/360

Answer 8

0, 1, 0

Question 9

sin, cos, tan at 90

Answer 9

1, 0, undefined

Question 10

sin, cos, tan at 270

Answer 10

-1, 0, undefined

Question 11

something is undefined when

Answer 11

it is put over 0

Question 12

tangent is

Answer 12

sine/cosine

Question 13

cotangent is

Answer 13

cosine/sine

Question 14

sine is the _ coordinate

Answer 14

y

Question 15

cosine is the _ coordinate

Answer 15

x

Question 16

reference angle is

Answer 16

from the angle measure back to x axis

Question 17

how do u get coterminal angles

Answer 17

add or subtract 360

Question 18

to get from a negative to positive angle u

Answer 18

add 360

Question 19

to get from (larger than 360) to 360 or less u

Answer 19

subtract 360

Question 20

formula to get sine if given cosine

Answer 20

x squared + y squared = 1

Question 21

relationships for 45-45-90 triangles

Answer 21

sl ll hyp
n, n, n radical 2

Question 22

relationships for 30-60-90 triangles

Answer 22

sl ll hyp
n, n radical 3, 2n

Question 23

sin is

Answer 23

opp/hyp

Question 24

cosine is

Answer 24

adj/hyp

Question 25

tan at 0/360

Answer 25

0

Question 26

tan at 30

Answer 26

radical 3/3

Question 27

tan at 45

Answer 27

1

Question 28

tan at 60

Answer 28

radical 3

Question 29

tan at 90

Answer 29

undefined

Question 30

tan at 180

Answer 30

0

Question 31

tan at 270

Answer 31

undefined

Question 32

cosecant and secant are

Answer 32

1/sin
1/cosine

Question 33

first quadrant has

Answer 33

0-90

Question 34

second quadrant has

Answer 34

90-180

Question 35

third quadrant has

Answer 35

180-270

Question 36

fourth quadrant has

Answer 36

270-360

Question 37

how to find exact trig value

Answer 37

1) find reference angle (convert to degrees and make it between 0-360 if necessary)
2) will it be neg or pos? (based on quadrant)
3) write it as (pos/neg)(function)(ref angle)
4) get the value u need
5) adjust signs if necessary