reciprocol and inverse trig functions

Question 1

draw y = cosec

Answer 1

Question 2

draw y = sec

Answer 2

Question 3

draw y = cot

Answer 3

Question 4

what is domain of cosec?

Answer 4

Question 5

what is domain of sec?

Answer 5

Question 6

what is domain of cot?

Answer 6

Question 7

what is range of cosec?

Answer 7

Question 8

what is range of sec?

Answer 8

Question 9

what is range of cot?

Answer 9

Question 10

what is the theorem including sec^2?

Answer 10

Question 11

what is the theorem including cosec^2?

Answer 11

Question 12

draw y = arcsin

Answer 12

Question 13

draw y = arccos

Answer 13

Question 14

draw y = arctan?

Answer 14

Question 15

what is the relationship between trig functions and their inverse in regards to domain and function values?

Answer 15

trig values of their domain is the value of their inverse’s range, and vice versa

Question 16

what is domain and range of sinx?

Answer 16

Question 17

what is domain and range of arcsin?

Answer 17

Question 18

what is domain and range of cos?

Answer 18

Question 19

what is domain and range if arccos?

Answer 19

Question 20

what is domain and range of tan?

Answer 20

Question 21

what is domain and range of arctan?

Answer 21

Question 22

compound angle proof using this diagram

Answer 22

Question 23

what is sin(a +/- b)=

Answer 23

Question 24

what is cos(A+/-B)=

Answer 24

Question 25

what is tan (A+/-B)=

Answer 25

Question 26

what is sin2A=

Answer 26

2sinAcosA

Question 27

what is cos2A=

Answer 27

cos^2A-sin^2A

Question 28

what is tan2A=

Answer 28

(2tanA)/(1-tan^2A)