trig identities

Question 1

cos (-theta)

Answer 1

cos (theta)

Question 2

sec(-theta)

Answer 2

sec (theta)

Question 3

sin(- theta)

Answer 3

-sin(theta)

Question 4

csc(-theta)

Answer 4

csc(theta)

Question 5

tan(-theta)

Answer 5

-tan(theta)

Question 6

cot(-theta)

Answer 6

-cot(theta)

Question 7

which are even and which are odd identities?

Answer 7

EVEN: cos and sec bc - theta = positive
ODD: sin, csc, tan, cot bc - theta= - _______

Question 8

sum and difference identity for cos (a +or- B)

Answer 8

Cos(a)cos(b)- or + sin(a)sin(B)

Question 9

sum and difference identity for sin (a + or - B)

Answer 9

sin(a)cos(B) + or - cos(a)sin(B)

Question 10

double angle identities for sin(2 theta)

Answer 10

2sin(theta)cos(theta)

Question 11

double angle identities for cos(2 theta)

Answer 11

1-2sin^2(theta)
2cos^2(theta)-1
cos^2(theta)-sin^2(theta)

Question 12

cofunction identities sin(theta) =

Answer 12

cos(pi/2- theta)

& cos(theta) = sin(pi/2 - theta)

Question 13

cofunction identities

csc (theta)

Answer 13

sec(pi/2 - theta)

sec (theta) = csc (pi/2- theta)

Question 14

cofunction identities

tan (theta)

Answer 14

cot (pi/2 - theta)

cot (theta) = tan (pi/2 - theta)

Question 15

csc and cot domain

Answer 15

x cannot equal pik

Question 16

what is the period for tan and cot?

Answer 16

pi/ omega

NOT 2pi

Question 17

domain of tan and sec ?

Answer 17

x cannot equal pi/2 + pik

Question 18

range restriction on sec and csc?

Answer 18

(- infinite to -1] U [1, infinite)