COACHING REPORT – Pre-Assessment: Trigonometry and Precalculus (AFC2) (PABN)
Attempt 2 - September 25, 2024 Print View Assessment
Driegosncormipettriyon
T
and Precalculus
Exemplary covers the
knowledge and
skills necessary
Competencies and Topics Assessment Score to apply
trigonometry,
complex
Trigonometry of Angles - 17% of assessment numbers,
EXEMPLARY systems of
equations,
vectors and
Triangles Review matrices, and
sequences and
series, and to use
2. In right triangle PQR, side PQ is 5 cm long. appropriate
technology to
model and solve
real-life
problems. Topics
include degrees;
radians and arcs;
reference angles
and right
triangle
trigonometry;
applying,
graphing and
transforming
trigonometric
functions and
their inverses;
Which two statements are true? solving
trigonometric
equations; using
Choose 2 answers
and proving
trigonometric
identities;
More
geometric,
rectangular, and
polar
A firefighter is standing 33 feet away from a 45-foot-tall building. The firefighter looks up and sees that a cat that is stuck on approaches to
3.
the top of the building and also notices a dog in a second floor window that is 15 feet above the ground. complex
numbers;
DeMoivre's
What is the angle of elevation of the cat, as seen by the firefighter, rounded to the nearest degree, neglecting the height of Theorem;
the firefighter? systems of linear
equations and
matrix-vector
[[1]]
equations;
systems of
What is the difference between the angle of elevation of the cat and the elevation of the dog, as seen by the firefighter, nonlinear
rounded to the nearest degree, neglecting the height of the firefighter? equations;
systems of
inequalities; and
[[2]]
arithmetic and
More
geometric
sequences and
series. College
Algebra is a
prerequisite for
this course.
Angles and Arcs Review Using This
Report
, 1.
A bicycle has a rear wheel with a diameter of 26 inches.
How far does the bicycle travel forward if the rear wheel rotates through an angle of 135°?
[[1]]inches to the nearest inch
How fast is the bicycle traveling if the rear wheel is rotating at a rate of 260 revolutions per minute?
[[2]]inches per minute to the nearest inch per minute
How far does the bicycle travel in 3 minutes if the wheel is rotating at a rate of 260 revolutions per minute?
[[3]]inches to the nearest inch
More
The Law of Sines and the Law of Cosines Review
4. Given the Law of Sines:
a b c
= =
sinA sinB sinC
and the Law of Cosines:
2 2
c = a + b2 − (2ab)cosC
Two points A and B are on opposite sides of a building. An architect chooses a third point C that is 104 yards from A and 80
yards from B, with angle C measuring 61.5°.
How far apart are A and B to the nearest yard?[[1]]
What is the measure of angle A to the nearest degree?[[2]]
More
Trigonometry of Real Numbers - 30% of assessment
EXEMPLARY
Trigonometric Functions Review
5. The following ordered pair lies on the terminal side of an angle θ on the unit circle.
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