Circular functions

Question 1

how do you convert from degrees to radians

Answer 1

x π/180

Question 2

how do you convert from radians to degrees

Answer 2

X 180/π

Question 3

Answer 3

Question 4

Answer 4

Question 5

Answer 5

Question 6

Answer 6

Question 7

P(⊘) = (x,y) = …….

Answer 7

(cos ⊘, sin ⊘)

Question 8

tan ⊘ = …….

Answer 8

sin ⊘/ cos ⊘

Question 9

for symmetry properties in quadrant 2 what is the rule?

Answer 9

π - ⊘ (sin positive, cos negative, tan negative)

Question 10

for symmetry properties in quadrant 3 what is the rule?

Answer 10

π + ⊘ (tan positive, cos negative, sin negative)

Question 11

for symmetry properties in quadrant 4 what is the rule?

Answer 11

2π - ⊘

Question 12

what are the symmetry property rules for negative angles?

Answer 12

sin (-⊘) = -sin ⊘
cos (-⊘) = cos ⊘ (POSITIVE)
tan (-⊘) = -tan ⊘

Question 13

what is the period equal to for cos and sin graphs

Answer 13

2π/n

Question 14

what is the amplitude for cos and sin graphs

Answer 14

a

Question 15

sin graph shape (+)

Answer 15

Question 16

cos graph shape (+)

Answer 16

Question 17

when a sin graph is reflected in the y-axis it is…

Answer 17

equivalent to being reflected in the x-axis

Question 18

when a cos graph is reflected in the y-axis it…

Answer 18

transforms onto itself (no change)

Question 19

for complimentary relationships what is the rule in the first quadrant?

Answer 19

π/2 - ⊘

Question 20

for complimentary what is the rule in the second quadrant?

Answer 20

π/2 + ⊘

Question 21

for complimentary relationships what is the rule in the third quadrant?

Answer 21

3π/2 - ⊘

Question 22

for complimentary relationships what is the rule in the fourth quadrant?

Answer 22

3π/2 + ⊘

Question 23

what is the rule for pythagorean identity

Answer 23

cos²⊘ + sin²⊘ = 1

Question 24

what is sin equal to in quadrant one in reference to complementary relationships

Answer 24

cos ⊘

Question 25

what is cos equal to in quadrant one in reference to complementary relationships

Answer 25

sin ⊘

Question 26

what is sin equal to in the second quadrant in reference to complementary relationships?

Answer 26

cos ⊘

Question 27

what is cos equal to in the second quadrant in reference to complementary relationships?

Answer 27

-sin ⊘

Question 28

what is sin equal to in the third quadrant in relation to complementary relationships?

Answer 28

-cos ⊘

Question 29

what is cos equal to in the third quadrant in relation to complementary relationships?

Answer 29

- sin ⊘

Question 30

what is sin equal to in the fourth quadrant in relation to complementary relationships?

Answer 30

- cos⊘

Question 31

what is cos equal to in the fourth quadrant in relation to complementary relationships?

Answer 31

sin ⊘

Question 32

what is the period equal to for tangeant function graphs

Answer 32

π/n

Question 33

what are the assymptotes equal to for tangeant function graphs?

Answer 33

t = (2k+1)π/ 2n

Question 34

what are the t-axis intercepts equal to on a tangeant function graph?

Answer 34

t = kπ/n

Question 35

what is the scale for a tangeant function graph?

Answer 35

period/2

Question 36

tan graph shape (+)

Answer 36

Question 37

What is the period equal to for sin and cos graphs

Answer 37

2pie/n