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Advanced Trigonometry Flashcards | StudBud
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Advanced Trigonometry
Advanced Trigonometry
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Answers
1
Given tan = -5/3 and cosθ > 0, find sinθ
C
B
A
D
2
Use double angle identities to simplify the following expression. Simplify, do not solve!
sin (2π/7)
cos (π/14)
cos (2π/7)
sin (π/14)
3
Evaluate sin π =
0
-1
undefined
1
4
Trigonometry
cos x
sin x
-cos x
-sin x
5
True or false: sin 30 = sin 150
False
True
6
Find the exact value of the double angle.
B
D
C
A
7
Evaluate sin 135
∘
=
√3 / 2
-√2 / 2
√2 / 2
-√3 / 2
8
Find the exact value of the double angle.
C
A
D
B
9
What is the transformation that transforms the red line into the blue line?
y = tan x
y = 4 sin 3x
y = 3 sin 2x
y = 2 cos 2x
10
Evaluate tan 60
∘
=
-√3 / 3
√3 / 3
√3
-√3
11
Describe the transformation of 2cos(t-1) from the parent function, cos(t)
Vertically dilated and translated 1 unit right
Vertically dilated and translated 1 unit left
Vertically dilated and translated 1 unit up
Vertically dilated and translated 1 unit down
12
Describe the transformation of sin(2t)-4 from the parent function, sin(t)
Horizontally dilated and translated 4 units up
Vertically dilated and translated 1 unit down
Vertically dilated and translated 1 unit up
Horizontally dilated and translated 4 unit down
13
What is another way to write cos2x?
cos^2(x)-sin^2(x)
there are 2 correct answers
1-2sin^2(x)
2sin(x)cos(x)
14
What is Sin 120°
√3/2
-1/2
-√3/2
1/2
15
What is the Unit Circle?
A circle with diameter 1
A circle with radius 1
A circle with an area of 1
A circle with a circumference of 1
16
What is the transformation that transforms the red line into the blue line?
y = 2 cos 2x
y = 4 sin 3x
y = 3 sin 2x
y = tan x
17
Simplify this trigonometric expression.
cos2 x
-1
1
sin2 x
18
Evaluate sin (5π / 3) =
√3 / 2
1/2
-1/2
-√3 / 2
19
Evaluate cos (π / 4) =
√3 / 2
-√3 / 3
-√2 / 2
√2 /2
20
What transformation on y = cosx produces y= cos2x
Stretch scale factor ½ in the x-direction
Translation 2 units to the right
Stretch scale factor 2 in the x-direction
Stretch scale factor 2 in the y-direction
21
Find all solutions to the trigonometric equation below
x = 5π/6 or 7π/6
x = π/6 + 2nπ or 5π/6 + 2nπ
x = 5π/6 + 2nπ or 7π/6 + 2nπ
x = π/6 or 5π/6
22
what is the amplitude of the functions 3 sin(2X)?
3
1
2
-3
23
Factor this trigonometric expression.
cos x(cos x - 1)
(cos x - 1)(cos x + 1)
(cos x - 1)(cos x - 1)
(cos x + 1)(cos x + 1)
