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Trig Identities And Polar Coordinates Review
Test Description: Trig identities and laws, trig equations, polar coordinates
Instructions: Answer all questions to get your test result.
1) Find the exact value of sin75 degrees.
A
(sqrt2 + sqrt6)/4
B
(sqrt2 + sqrt6)/2
C
(sqrt2 - sqrt6)/4
D
(sqrt6 - sqrt2)/4
2) Choose the one that is NOT equal to cos^2(theta)
A
tan^2(theta) + 1
B
(1 + cos2(theta))/2
C
1/sec^2(theta)
D
1 - sin^2(theta)
3) Solve for theta: 3csc^2(theta) = 1 + 2csc^2(theta)
A
pi/4, 3pi/4
B
pi/6, 5pi/6
C
pi, 2pi
D
pi/2, 3pi/2
4) Find A when a=11, b=17, c=10
A
38 degrees
B
54 degrees
C
16 degrees
D
72 degrees
5) Find B when b=35, c=38, C=110 degrees
A
60 degrees
B
0 degrees
C
90 degrees
D
30 degrees
6) Convert to Cartesian coordinates: (3, pi/3)
A
(1.5, 2.6)
B
(3.7, 4)
C
(2.6, 1.5)
D
(4, 3.7)
7) Convert to polar coordinates: (0, 4)
A
(-4, 0 degrees)
B
(-4, 90 degrees)
C
(4, 90 degrees)
D
(4, 0 degrees)
8) Convert to polar form (using degrees for theta): 5 + 2i
A
sqrt38(cos56 + isin56)
B
sqrt29(cos22 + isin22)
C
sqrt10(cos70 + isin70)
D
4(cos90 + isin90)
9) Subtract the vectors: (1, -3) - (-4, 6)
A
(-3, 3)
B
(5, 3)
C
(5, -9)
D
(-3, -9)
10) Find the dot product: (-1, 9) and (8, 2)
A
7
B
-10
C
26
D
10
*select an answer for all questions
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