Describe the nature of the graph of y = -sin(x) + 1 .

reflected across the x-axis with vertical translation of 1

Trigonometry review (IB SL)

IB SL Trig functions, equations, identities Duplicate of 3.4 & 3.5: topic 3.4 and 3.5 for ib math sl - anne watkins tyson Duplicate of 3.3 Trigonometric Identities: #math #trigonometry #ib #standardlevel #trigidentities

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Questions 18

Answers

1
Simplify
sinα
cosα
1 - sinα
tanα
2
When graphing the equation, y = a sin (b(x-c)) + d, what does d tell you?
amplitude
vertical translation
horizontal translation
maximum
3
Solve for x in the domain of 0≤x≤⫪ : 2sinx-1 = 0.
⫪/3, 2⫪/3, 4⫪/3, 5⫪/3
⫪/6, 5⫪/6
⫪/6, 5⫪/6, 7⫪/6, 11⫪/6
⫪/3, 2⫪/3
4
cos 2x =
sin2x + cos2x
sin2x - cos2x
2cos2x - 1
2sinxcosx
5
What mode should your calculator be in when dealing with trigonometric equations?
degrees
beast
zero
radians
6
What does 2⫪/b give you?
amplitude
range
domain
period
7
What is the period for the graph of y=cos(4x)?
⫪/2
4
2⫪
⫪
8
Simplify
1
tanα
1 / (sinα + cosα)
sinα + cosα
9
Given sinx = 1/3, find the possible value of cosx
±2√2 / 3
-2√2 / 3
Cannot be determined
2√2 / 3
10
Describe the nature of the graph of y = -sin(x) + 1 .
reflected across x-axis with 1 as the period
reflected across the x-axis with horizontal translation of 1
reflected across the x-axis with vertical translation of 1
reflected across the y-axis with vertical translation of 1
11
cos 2x = 2cos²x - 1 is best called a
identity
double angle formula
formula
cosine rule
12
Which equation is not a trigonometric identity?
cos2θ + sin2θ = 1
tanθ = sinθcosθ
sin2θ = 2sinθcosθ
cos2θ = 2cos2θ - 1
13
Where does sin² θ + cos² θ = 1 come from?
Right angle identity
Half angle identity
Double angle identity
Pythagorean theorem
14
cos²x - sin²x =
sin 2x
tan 2x
cos 2x
sin x
15
If sinA=5/13 & cosA=12/13, then what is sin2A?
10/13
24/13
119/169
120/169
16
What is the amplitude for a graph of tangent?
∞
undefined
zero
-∞
17
Simplify
2 sinx cosx
tan(2x)
sin(2x) / cos(2x)
sinx / cosx
18
sin 2x =
cos 2x − sin 2x
2cosx2−1
2sinxcosx
1−2sinx2

Trigonometry review (IB SL) Flashcards | StudBud

Trigonometry review (IB SL)

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Flashcards18 cardsFPractice quizPHost liveL

Questions 18

Answers

1
Simplify
sinα
cosα
1 - sinα
tanα
2
When graphing the equation, y = a sin (b(x-c)) + d, what does d tell you?
amplitude
vertical translation
horizontal translation
maximum
3
Solve for x in the domain of 0≤x≤⫪ : 2sinx-1 = 0.
⫪/3, 2⫪/3, 4⫪/3, 5⫪/3
⫪/6, 5⫪/6
⫪/6, 5⫪/6, 7⫪/6, 11⫪/6
⫪/3, 2⫪/3
4
cos 2x =
sin2x + cos2x
sin2x - cos2x
2cos2x - 1
2sinxcosx
5
What mode should your calculator be in when dealing with trigonometric equations?
degrees
beast
zero
radians
6
What does 2⫪/b give you?
amplitude
range
domain
period
7
What is the period for the graph of y=cos(4x)?
⫪/2
4
2⫪
⫪
8
Simplify
1
tanα
1 / (sinα + cosα)
sinα + cosα
9
Given sinx = 1/3, find the possible value of cosx
±2√2 / 3
-2√2 / 3
Cannot be determined
2√2 / 3
10
Describe the nature of the graph of y = -sin(x) + 1 .
reflected across x-axis with 1 as the period
reflected across the x-axis with horizontal translation of 1
reflected across the x-axis with vertical translation of 1
reflected across the y-axis with vertical translation of 1
11
cos 2x = 2cos²x - 1 is best called a
identity
double angle formula
formula
cosine rule
12
Which equation is not a trigonometric identity?
cos2θ + sin2θ = 1
tanθ = sinθcosθ
sin2θ = 2sinθcosθ
cos2θ = 2cos2θ - 1
13
Where does sin² θ + cos² θ = 1 come from?
Right angle identity
Half angle identity
Double angle identity
Pythagorean theorem
14
cos²x - sin²x =
sin 2x
tan 2x
cos 2x
sin x
15
If sinA=5/13 & cosA=12/13, then what is sin2A?
10/13
24/13
119/169
120/169
16
What is the amplitude for a graph of tangent?
∞
undefined
zero
-∞
17
Simplify
2 sinx cosx
tan(2x)
sin(2x) / cos(2x)
sinx / cosx
18
sin 2x =
cos 2x − sin 2x
2cosx2−1
2sinxcosx
1−2sinx2