Trig ID Quotients And PYTHAG

Question 1

3 triangles from unit circle:

name the leg, leg and hypotenuse of the triangle that has

SINX

as “leg, leg, hypotenuse”

Answer 1

SIN, COS, 1

Question 2

3 triangles from unit circle:

name the leg, leg and hypotenuse of the triangle that has

cosx

as “leg, leg, hypotenuse”

Answer 2

SIN, COS, 1

Question 3

3 triangles from unit circle:

name the leg, leg and hypotenuse of the triangle that has

tanx

as “leg, leg, hypotenuse”

Answer 3

TAN, 1 , SEC

Question 4

3 triangles from unit circle:

name the leg, leg and hypotenuse of the triangle that has

cotx

as “leg, leg, hypotenuse”

Answer 4

1,COT, CSC

Question 5

3 triangles from unit circle:

name the leg, leg and hypotenuse of the triangle that has

sec x

as “leg, leg, hypotenuse”

Answer 5

TAN, 1, SEC

Question 6

3 triangles from unit circle:

name the leg, leg and hypotenuse of the triangle that has

csc x

as “leg, leg, hypotenuse”

Answer 6

1, COT, CSC

Question 7

What are the three hypotenuses from the three triangles?

Answer 7

1, SEC and CSC

Question 8

write as reciprocal: sin x

Answer 8

1/csc x

Question 9

write as reciprocal: cosx

Answer 9

1/sec x

Question 10

write as reciprocal: tanx

Answer 10

1/cot x

Question 11

write as reciprocal: cotx

Answer 11

1/tan x

Question 12

write as reciprocal: secx

Answer 12

1/ cos x

Question 13

write as reciprocal: cscx

Answer 13

1/ sin x

Question 14

Write as single trig function: 1/sin x

Answer 14

csc x

Question 15

Write as single trig function: 1/cosx

Answer 15

sec x

Question 16

Write as single trig function: 1/tanx

Answer 16

cot x

Question 17

Write as single trig function: 1/cotx

Answer 17

tan x

Question 18

Write as single trig function: 1/secx

Answer 18

cos x

Question 19

Write as single trig function: 1/cscx

Answer 19

sin x

Question 20

Write as single trig function: sinx/cosx

Answer 20

tan x

Question 21

Write as single trig function: cosx/sinx

Answer 21

cot x

Question 22

Write as ratio of two trig functions: tanx

Answer 22

sin x/cos x

Question 23

Write as ratio of two trig functions: cotx

Answer 23

cosx/sinx

Question 24

PYTHAG IDENTITY: what it the identity with sin ?

Answer 24

sin² + cos² = 1

Question 25

PYTHAG IDENTITY: what it the identity with cos?

Answer 25

sin² + cos² = 1

Question 26

PYTHAG IDENTITY: what it the identity with tan ?

Answer 26

tan² + 1 = sec²

Question 27

PYTHAG IDENTITY: what it the identity with sec?

Answer 27

tan² + 1 = sec²

Question 28

PYTHAG IDENTITY: what it the identity with cot?

Answer 28

1 + cot² = csc²

Question 29

PYTHAG IDENTITY: what it the identity with csc ?

Answer 29

1 + cot² = csc²

Question 30

PYTHAG IDENTITY: use identity to substitute in for: sin²

Answer 30

1-cos²

Question 31

PYTHAG IDENTITY: use identity to substitute in for: -sin²

Answer 31

cos² - 1

Question 32

PYTHAG IDENTITY: use identity to substitute in for: cos²

Answer 32

1-sin²

Question 33

PYTHAG IDENTITY: use identity to substitute in for: -cos²

Answer 33

sin² - 1

Question 34

PYTHAG IDENTITY: use identity to substitute in for: tan²

Answer 34

sec²-1

Question 35

PYTHAG IDENTITY: use identity to substitute in for: -tan²

Answer 35

1 - sec²

Question 36

PYTHAG IDENTITY: use identity to substitute in for: cot²

Answer 36

csc² - 1

Question 37

PYTHAG IDENTITY: use identity to substitute in for: -cot²

Answer 37

1 - csc²

Question 38

PYTHAG IDENTITY: use identity to substitute in for: sec²

Answer 38

tan² + 1

Question 39

PYTHAG IDENTITY: use identity to substitute in for: -sec²

Answer 39

-tan² - 1

Question 40

PYTHAG IDENTITY: use identity to substitute in for: csc²

Answer 40

1 + cot²

Question 41

PYTHAG IDENTITY: use identity to substitute in for: -csc²

Answer 41

-1 - cot²

Question 42

PYTHAG IDENTITY: use identity to substitute in for: sin²+cos²

Answer 42

1

Question 43

PYTHAG IDENTITY: use identity to substitute in for: tan²+1

Answer 43

sec²

Question 44

PYTHAG IDENTITY: use identity to substitute in for: 1+cot²

Answer 44

csc²

Question 45

PYTHAG IDENTITY: use identity to substitute in for: 1-sin²

Answer 45

cos²

Question 46

PYTHAG IDENTITY: use identity to substitute in for: 1-cos²

Answer 46

sin²

Question 47

PYTHAG IDENTITY: use identity to substitute in for: sin²-1

Answer 47

-cos²

Question 48

PYTHAG IDENTITY: use identity to substitute in for: cos²-1

Answer 48

-sin²

Question 49

PYTHAG IDENTITY: use identity to substitute in for: sec²-1

Answer 49

tan²

Question 50

PYTHAG IDENTITY: use identity to substitute in for: 1-sec²

Answer 50

-tan²

Question 51

PYTHAG IDENTITY: use identity to substitute in for: sec²-tan²

Answer 51

1

Question 52

PYTHAG IDENTITY: use identity to substitute in for: 1 (three ways)

Answer 52

csc²-cot² sin²+cos² sec²-tan²

Question 53

PYTHAG IDENTITY: use identity to substitute in for: csc² - cot²

Answer 53

1