Math 1060–003, Fall 2013
Instructor: Kyle Steffen
December 9, 2013
Information for Math 1060 Final
• No calculator.
• You will be given a list of formulas.
• Bring your student ID to the exam.
Trig final covers:
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Angles, radians, co-terminal angle, standard position
Angular and linear velocity, area of a sector of a circle
Unit circle questions
Basic identities and right triangle ratios
Functions—period, amplitude, shifts, even/odd
Graphs of trig functions
Inverse functions arcsin x, cos−1 x, etc.
Solving right triangles
Solving trigonometric equations
Sum and difference formulas, double and half angle formulas
Solving non-right triangles, law of sines, law of cosines, area of a triangle
Verifying identities
Given the coordinate of a point on the terminal side of an angle, find the trig ratios
Vectors: sketch them, component form, direction angle form, add and subtract them
Complex numbers: standard form & trigonometric form, multiplying, dividing, taking
powers and roots of.
• Polar coordinates, polar equations
How to study for the exam:
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Do not wait until the last minute. Study regularly and diligently.
Try the practice exams.
Come to class and study session.
Look over all your tests and quizzes and correct mistakes/improve understanding.
Get help from each other, me, tutoring center, etc.
List of formulas:
sin(u + v) = sin u cos v + cos u sin v
Æ
1−cos u
2
1+cos u
±
2
1−cos u
sin u
sin 2u = ±
Æ
cos(u + v) = cos u cos v − sin u sin v
tan u+tan v
tan(u + v) = 1−tan
u tan v
cos 2u =
tan 2u =
c 2 = a2 + b2 − 2ab cos C
AT = 12 ab sin C
v = rω
s = rθ
z n = r n (cos nθ + i sin nθ )
A = 21 r 2 θ
zk =
p
n
r(cos θ +2πk
+ i sin θ +2πk
)
n
n