Trigonometry & Vectors
determine side lengths 'x' and 'y'
(diagram on paper)
x = 12.1 m, y = 9.1 m
convert 55 gallons to liters.
55 gal = 250.03 L
Evaluate
64²/³
16
What are the end behaviors of y = -2x³ - 6 x ?
Q2 to Q4
What component of a periodic function does the 'a' value represent in the formula
y = a sin/cos k (x - d) + c
Amplitude
determine whether sine law, cosine law, or SOHCAHTOA should be used to find angle 'x'
(diagram on paper)
cosine law
state the area and perimeter of the figure below.
(diagram on paper)
A = 11m², P = 18.1m
Simplify
aₓ₊ᵧ x a₂ₓ₊ᵧ / a₂ₓ₋₇
ₓ₊₂ᵧ₊₇
rearrange to solve for C
F = (9/5)C + 32
C = (5/9) (F-32)
according to the CAST rule, which quadrants is cosine negative
quadrants 2 & 3
use sine law to find the length of side 'x'?
(diagram on paper)
x = 15.2 m
what is the longest possible chord in a circle called?
diameter
What are the difference(s) between the graphs of
y = 3₋ₓ and y = (1/3)ₓ ?
nothing, they are the same function
expand and simplify.
(5x - 4) (x² + 7x - 8)
5x³ + 31x² - 68x + 32
what are the next 3 positive and negative co-terminal angles of 94°
positive: 454°, 814°, 1174°
negative: -266°, -626°, -986°
use cosine law to find angle 'x'
(diagram on paper)
x = 52.9° °
what is the volume of a sphere with a diameter of 26 cm?
V = 9202.8cm³
Evaluate
log⁸(1/(8)⁴)
x = -4
factor and list the zeroes of:
y = -2x⁴ + 26x² - 72
y = -2 (x - 2) (x + 2) (x - 3) (x + 3)
zeroes: x = 2, x = -2, x = 3, x = -3
what is the exact value of cos 330
(√3)/2
Draw a force diagram, and calculate the vertical and horizontal components of a vector that has direction N40°E and a force of 6 N
[ 3.9 , 4.6 ]
(diagram on answer sheet)
What is the measure of the inscribed angle, θ?
(diagram on paper)
θ = 43°
Determine the exact solution algebraically
9₂ₓ₊₁ = 81(27ₓ)
x = 2
a gym charges a $50 initiation fee, and an additional $20 monthly.
Write this relationship in function notation, and determine how much a membership would cost after a year and a half.
f(x) = 20x + 50
f(18) = $410
determine the domain, range, and critical points of one cycle of
y=4sin2(x+45°)
D: -45° ≤ x ≤ 135°
R: -1 ≤ y ≤ 7
CP: (-45°,3), (0°,7), (45°,3), (90°,-1), (135°,3)