Trigonometic Functions Flashcards

(22 cards)

0
Q

cos(t) = ?

A

X

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1
Q

sin(t) = ?

A

Y

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2
Q

tan(t) = ?

A

Y/X

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3
Q

sec(t) = ?

A

1/X

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4
Q

csc(t) = ?

A

1/Y

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5
Q

cot(t) = ?

A

X/Y

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6
Q

Domain: sin, cos

A

All real.

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7
Q

Domain: tan, sec

A

All real; except: pi/2+n(pi)

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8
Q

Domain: cot, csc

A

All real; except n(pi)

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9
Q

Positive functions in Q1?

A

All.

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10
Q

Positive functions in Q2?

A

sin, csc

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11
Q

Positive functions in Q3?

A

tan, cot

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12
Q

Positive functions in Q4?

A

cos, sec

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13
Q

The six trigonometric functions are?

A

Sine, Cosine
Secant, Cosecant
Tangent, Cotangent

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14
Q

The even functions?

A

Cosine, Secant

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15
Q

The odd functions?

A

Sine, Cosecant, Tangent, Cotangent.

16
Q

Reciprocal: csc(t)

17
Q

Reciprocal: sec(t)

18
Q

Reciprocal: cot(t)

19
Q

Reciprocal: tan(t)

A

sin(t) / cos(t)

20
Q

Reciprocal: cot(t)

A

cos(t) / sin(t)

21
Q

Pythagorean Identities

A

sin(t)* + cos(t)* = 1
tan(t)* + 1 = sec(t)*
1 + cot(t)* = csc(t)*
* ^2