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PreCalc > Trig ID Quotients And PYTHAG > Flashcards

Trig ID Quotients And PYTHAG Flashcards

1
Q

3 triangles from unit circle:

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

SINX

as “leg, leg, hypotenuse”

A

SIN, COS, 1

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2
Q

3 triangles from unit circle:

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

cosx

as “leg, leg, hypotenuse”

A

SIN, COS, 1

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3
Q

3 triangles from unit circle:

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

tanx

as “leg, leg, hypotenuse”

A

TAN, 1 , SEC

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4
Q

3 triangles from unit circle:

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

cotx

as “leg, leg, hypotenuse”

A

1,COT, CSC

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5
Q

3 triangles from unit circle:

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

sec x

as “leg, leg, hypotenuse”

A

TAN, 1, SEC

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6
Q

3 triangles from unit circle:

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

csc x

as “leg, leg, hypotenuse”

A

1, COT, CSC

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7
Q

What are the three hypotenuses from the three triangles?

A

1, SEC and CSC

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8
Q

write as reciprocal: sin x

A

1/csc x

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9
Q

write as reciprocal: cosx

A

1/sec x

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10
Q

write as reciprocal: tanx

A

1/cot x

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11
Q

write as reciprocal: cotx

A

1/tan x

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12
Q

write as reciprocal: secx

A

1/ cos x

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13
Q

write as reciprocal: cscx

A

1/ sin x

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14
Q

Write as single trig function: 1/sin x

A

csc x

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15
Q

Write as single trig function: 1/cosx

A

sec x

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16
Q

Write as single trig function: 1/tanx

A

cot x

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17
Q

Write as single trig function: 1/cotx

A

tan x

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18
Q

Write as single trig function: 1/secx

A

cos x

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19
Q

Write as single trig function: 1/cscx

A

sin x

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20
Q

Write as single trig function: sinx/cosx

A

tan x

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21
Q

Write as single trig function: cosx/sinx

A

cot x

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22
Q

Write as ratio of two trig functions: tanx

A

sin x/cos x

23
Q

Write as ratio of two trig functions: cotx

A

cosx/sinx

24
Q

PYTHAG IDENTITY: what it the identity with sin ?

A

sin2 + cos2 = 1

25
Q

PYTHAG IDENTITY: what it the identity with cos?

A

sin2 + cos2 = 1

26
Q

PYTHAG IDENTITY: what it the identity with tan ?

A

tan2 + 1 = sec2

27
Q

PYTHAG IDENTITY: what it the identity with sec?

A

tan2 + 1 = sec2

28
Q

PYTHAG IDENTITY: what it the identity with cot?

A

1 + cot2 = csc2

29
Q

PYTHAG IDENTITY: what it the identity with csc ?

A

1 + cot2 = csc2

30
Q

PYTHAG IDENTITY: use identity to substitute in for: sin2

A

1-cos2

31
Q

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

A

cos2 - 1

32
Q

PYTHAG IDENTITY: use identity to substitute in for: cos2

A

1-sin2

33
Q

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

A

sin2 - 1

34
Q

PYTHAG IDENTITY: use identity to substitute in for: tan2

A

sec2-1

35
Q

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

A

1 - sec2

36
Q

PYTHAG IDENTITY: use identity to substitute in for: cot2

A

csc2 - 1

37
Q

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

A

1 - csc2

38
Q

PYTHAG IDENTITY: use identity to substitute in for: sec2

A

tan2 + 1

39
Q

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

A

-tan2 - 1

40
Q

PYTHAG IDENTITY: use identity to substitute in for: csc2

A

1 + cot2

41
Q

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

A

-1 - cot2

42
Q

PYTHAG IDENTITY: use identity to substitute in for:

sin2+cos2

A

1

43
Q

PYTHAG IDENTITY: use identity to substitute in for:

tan2+1

A

sec2

44
Q

PYTHAG IDENTITY: use identity to substitute in for:

1+cot2

A

csc2

45
Q

PYTHAG IDENTITY: use identity to substitute in for:

1-sin2

A

cos2

46
Q

PYTHAG IDENTITY: use identity to substitute in for:

1-cos2

A

sin2

47
Q

PYTHAG IDENTITY: use identity to substitute in for:

sin2-1

A

-cos2

48
Q

PYTHAG IDENTITY: use identity to substitute in for:

cos2-1

A

-sin2

49
Q

PYTHAG IDENTITY: use identity to substitute in for:

sec2-1

A

tan2

50
Q

PYTHAG IDENTITY: use identity to substitute in for:

1-sec2

A

-tan2

51
Q

PYTHAG IDENTITY: use identity to substitute in for:

sec2-tan2

A

1

52
Q

PYTHAG IDENTITY: use identity to substitute in for:

1 (three ways)

A

csc2-cot2

sin2+cos2

sec2-tan2

53
Q

PYTHAG IDENTITY: use identity to substitute in for:

csc2 - cot2

A

1

PreCalc (2 decks)

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