Trig Equations Flashcards

1
Q

What is the cosine rule for angles

A
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2
Q

What is the cosine rule for sides

A
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3
Q

What is the equation used to calculate the section of the circumference from a sector of a circle (L)

A

L = rθ
r = radius
θ = angle in radians

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4
Q

What is secx equal to

A
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5
Q

What is cosecx equal to

A
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6
Q

What is cotx equal to

A
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7
Q

Sketch the graph of secx

A
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8
Q

State the domain and range of secx

A
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9
Q

Sketch the graph of cotx

A
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10
Q

State the domain and range of cotx

A
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11
Q

Sketch the graph of cosecx

A
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12
Q

State the domain and range of cosecx

A
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13
Q

State the identity of sin2x + cos2x

A
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14
Q

State the identity including cosec2x and cot2x

A
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15
Q

State the identity including sec2x and tan2x

A
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16
Q

What is the double angle formula for sin2A

A

Sin2A = 2sinAcosA

17
Q

What are the three double angle formulas for cos2A

A

cos2A =

18
Q

What is the double angle formula for tan2A

A
19
Q

What is 180 degrees in radians

A

20
Q

What is 1 degree in radians

A

ℼ/180

21
Q

What is the equation used to calculate the area of a sector

A
22
Q

What is the equation used to calculate the area of a segment of a sector of a circle

A
23
Q

When we know the value of x, how do we find the more valued for Sinx (in degrees & radians)

A
24
Q

When we know the value of x, how do we find the more valued for cosx (in degrees & radians)

A
25
Q

When we know the value of x, how do we find the more values for tanx (in degrees & radians)

A
26
Q

What is the condition for small angle approximations to work

A

We must be in radians not degrees

27
Q

What is the small angle approximation for sinx

A
28
Q

What is the small angle approximation for tanx

A
29
Q

What is the small angle approximation for cosx

A
30
Q

Convert Sin(50) to Cos

A

Sin

31
Q

Convert cos(50) to sin
Draw the triangle explaining this

A
32
Q

Convert sin(50) to cos
Draw the triangle explaining this

A
33
Q

How do we convert sin into cos or cos into sin

A

SinA=CosB, where A+B = 90 degrees (𝝅/2)

34
Q

What is the equation for calculating the area of a MAJOR sector of a circle

A

Area of circle - area of minor sector