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_1 v3 11. 2 (0.1 1 v3 120 12 12 5.5 135 450 1/3 50 2 2 150 30 V3 Determine the value of x using a trigonometric ratio. V3 2 2 (0.1) V3 (-1.0)180 09...
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Question

I need help with these Algebra questions.

1.) Which of the following is equal to cos θ using coordinates on the unit circle?


A) x


B) x∕y


C) yx


D) y


2.) Convert 6 radians to degrees.


A) 150°


B) 1080°


C) 25°


D) 150π°


3.) Simplify the expression using trigonometric identities (csc θ - csc θ · cos2 θ).


A) sin θ · tan θ


B) sin θ


C) sin2 θ


D) sin3 θ

 

4.) Reflecting = - 3 sin across the x-axis results in a function with equation


A) = - 3 sin (- π).


B) = - sin x.


C) = - 3 sin (+ π).


D) = 3 sin x.

 

5.) Given that tan θ = -8∕15 and θ is in quadrant IV, find sin θ.


A) 817


B) -1517


C) 1517


D) -817


6.) Find the equation of the midline of the function = 2 sin(14x) - 3.


A) = -3


B) = 3


C) = 2


D) 14


7.) The function = 2 cos 3(3) +1 has a phase shift (or horizontal shift) of


A) 2


B) 3


C) 1


D) -2π3


8.) Find the period of the function 23 cos(47x) + 2.


A) 47π


B) 74π


C) 72π


D) 3π


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9.
_1 v3
11.
2
(0.1
1 v3
120
12 12
5.5
135
450
1/3
50
2 2
150
30
V3
Determine the value of x using a trigonometric ratio.
V3
2 2
(0.1)
V3
(-1.0)180
09 / 360 (1.0)
( A) 4.21 units ( C) 8.56 units
12 12
120
(B) 7.18 units ()D) 50.23 units
12
135
NZ
450
12.
150
V3 1
(0.1)
1 13
3309
13
V2 V2 225"
12 2
120"
2 2
315
240
V2
135
(-1.0) 180
300
V2
2 2
7
09 / 360 (1.0)
V3 1
270
V3
2 3 150
V3 1
(0.-1)
13 1 210
130
Using the unit circle, determine the value of sin(-2409).
(-1.0) 180
2 2
V3
0' / 350 (1.0)
N2 2
225
315
ON-
240
300
V2
1/2
_V3
270
O B) -
(0,-1)
O D) ;
V3
2 2
1 210
330"/ V3
1
_N2
225
2 2
315
240
V2
V2
10.
Which of the following angles is in standard position?
300
13. Using the unit circle, determine the value of sin(3009).
270
OA)
O B)
(0.-1)
Using the unit circle, determine the value of tan(1209).
O B) -
OA) _ VS
OD)
O B) -
O D) -
OCE

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Subject: Algebra, Math

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