Vector Pre-Calculus Trigonometry

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Unit 6 Textbook Unit

Last updated 10:34 PM on 4/23/26
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21 Terms

1
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Solve the triangle A=21 deg; B=42 deg; a=6

C=117 deg; b=11.2; c=14.9

2
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Solve the triangle B=110 deg; C=30 deg; c=11

A=40 deg; a=14.1; b=20.7

3
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Solve the triangle A=130 deg; a=60; b=48

B=37.8 deg; C=12.2 deg; c=16.6

4
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Solve the triangle a=9; b=12; c=20

A=21.8 deg; B=29.7 deg; C=128.5 deg

5
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Solve the triangle C=45 deg; a=6; b=9

c=6.4; A=41.5 deg; B=93.5 deg

6
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Find the area of the triangle A=27 deg; b=5; c=8

Area=9.1

7
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Find the area of the triangle C=122 deg; b=18; a=29

Area=221.3

8
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Find the length of the pond with sides 565 ft; 501 ft; and angle 80 deg

690.5 ft

9
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Height of a building with 17 deg angle of elevation from 50 meters

15.3 meters Vectors

10
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Component form of vector with initial point (-8; 3) and terminal point (1; 5)

11
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Component form and magnitude of vector initial (-8; -12) and terminal (4; 1)

12
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Find the unit vector in the direction of u=

13
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Find the dot product of u=

-20

14
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Determine if u=

Orthogonal Angle

15
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between the vectors u=

32.5 deg

16
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Work done by crane lifting 18000 pound truck 48 inches

72000 foot-pounds Complex number

17
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Absolute value of the complex number 7-5i

sqrt 74

18
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Write z = -2+2i in trigonometric form

2 sqrt 2 (cos 135 deg + i sin 135 deg)

19
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Write 100(cos 240 deg + i sin 240 deg) in standard form

-50 - 50i sqrt 3

20
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Use DeMoivres Theorem to find (1-i) to the power of 10

-32i

21
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Find all solutions to the equation x^4 + 256 = 0

4(cos 45+i sin 45); 4(cos 135+i sin 135); 4(cos 225+i sin 225); 4(cos 315+i sin 31