Trigonometry Flashcards

Pure Maths - Year 2 - Trigonometry Identities (26 cards)

1
Q

cosec (x) =

(The Reciprocal Trigonometric Functions)

A

= 1/ sin(x)

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2
Q

sec(x) =

(The Reciprocal Trigonometric Functions)

A

= 1/ cos(x)

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3
Q

cot(x) =

(The Reciprocal Trigonometric Functions)

A

= 1/ tan(x)

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4
Q

What is the tangent identity and its reciprocal

A

tan(x) = sin(x)/ cos(x)
cot(x) = cos(x)/ sin(x)

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5
Q

sec^2(x) =

(Pythagorean Identities)

A

= tan^2(x) + 1

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6
Q

cosec^2(x) =

(Pythagorean Identities)

A

= 1 + cot^2(x)

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7
Q

1=

(Pythagorean Identities)

A

= sin^2(x) + cos^2(x)

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8
Q

sin(2A) =

(Double Anlge Identities)

A

= 2sinAcosA

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9
Q

cos(2A) =

(Double Anlge Identities)

A

= cos^2(A) - sin^2(A)

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10
Q

cos(2A) =

(Double Anlge Identities)

A

= 1 - 2sin^2(A)

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11
Q

cos(2A) =

(Double Anlge Identities)

A

= 2cos^2(A) -1

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12
Q

tan(2A) =

(Double Anlge Identities)

A

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

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13
Q

Arc Length of a Sector

(using radians)

A

rx

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14
Q

Area of a sector

(using radians)

A

1/2 r^2 x

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15
Q

sinx =

(small angle approximations)

A

x

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16
Q

cosx =

(small angle approximations)

17
Q

tanx=

(small angle approximations)

18
Q

Draw:

The Sin Graph

A

Refer to notes for answers

19
Q

Draw:

The Cos Graph

A

Refer to notes for answers

20
Q

Draw:

The Tan Graph

A

Refer to notes for answers

21
Q

Draw:

The Cosec Graph

A

Refer to notes for answers

22
Q

Draw:

The Sec Graph

A

Refer to notes for answers

23
Q

Draw:

The Cot Graph

A

Refer to notes for answers

24
Q

Draw:

The Arcsin Graph

A

Refer to notes for answers

25
# Draw: The Arccos graph
Refer to notes for answers
26
# Draw: The Arctan graph
Refer to notes for answers