Download sinA sinB sinC = = acb

Unit 9 Cumulative Review Homework Handout #2
Name: _________________
Use your notes from Unit 5 to write down how to determine the following when given the equation of a
trigonometric function such as Y=Acos(Bx-C)+D or y=Asin(Bx-C)+D
Amplitude = ____
Period = ____ OR ____ Phase Shift = ____
Vertical Shift = ____
You will have to KNOW these formulas for upcoming mini-quizzes, tests and the final exam!
Determine the amplitude, period, phase shift, and vertical shift of the function. Then, graph 1 cycle
of each function by plotting the FIVE key points.
1. y = 2sin(x) - 1
2. y = -cos(3θ) + 2
Amp = ____
Amp = ____
Period = ____
Period = ____
Phase Shift = ____
Phase Shift = ____
Direction: ______
Direction: ______
Vertical Shift = ____
Vertical Shift = ____
Direction = _______
Direction = _______
Solve the following problem related to trigonometric applications. HINT: Use SOH CAH TOA!
3. From a point on level ground 80 feet from the
4. A guy wire is attached from the ground to a pole
base of the Eiffel Tower, the angle of elevation is
6.7 yards above the ground. The wire makes a 29°
85.4°. Approximate the height of the Eiffel
angle with the ground. Find the length of the guy
Tower to the nearest foot.
wire to the nearest tenth of a foot.
Law of Cosines (Given on exam):
a2
= b2 +c2 -2bccosA
b2
= a 2 +c2 -2accosB
Law of Sines (Given on exam):
sinA = sinB = sinC
a
c
b
c2 = a 2 + b2 -2abcosC
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.
NEATLY SHOW your WORK!
5. Solve the triangle with A=64°, C=82°, and c=14.
B= ______
a= _______
b=______
7. Solve the triangle with A=120°, b=7, and c=8.
a= ______
B= _______
C=______
6. Solve triangle ABC if b=41, A=33°, B=29°.
C= ______
a= _______
c=______
8. Solve triangle ABC if a=8, b=10, and c=5.
B= ______
A= _______
C=_______