WB 1 - 3
Two angles with the same initial and terminal sides
What is Coterminal Angles
Amplitude = vertical shift
True/false?
false
sin-1(x) = 1/sin(x)
True/false?
false
Trig identities that show how to find the sine, cosine, or tangent of twice a given angle.
What is Double Angle Identities
a quantity that has both magnitude and direction
vector
The Pythagorean Identity [Formula]
cos^2(x) + sin^2(x) = 1
What is the definition of cscθ for a right triangle that has a hypotenuse of length r?
r/y
csc2(x) = 1 - cot2(x)
True/false?
false
correct:
csc2(x) = 1 + cot2(x)
Law of Sines and Law of Cosines can be used on any type of triangle
True/False
True
If
c=201,
∠A=80∘
and
∠B=46∘
b = ?
178.719731320079
f(-x) = -f(x) is....
What is an odd function?
y=-sin(12(x-π/24))
1. Amplitude =?
2. Period = ?
3. Phase shift =?
4. Midline y= ?
1. Amplitude = 11
2. Period = π/6
3. Phase shift = −π/24
4. Midline y=0
Prove
sec(x) - tan(x)sin(x) = 1/sec(x)
You did great <3
By using known trig identities,
sin(2x)/1+cos(2x)
can be written as...
tan(x)
Consider the vector v between (−4.8,4.9) and (−4.7,−4.4)
If the tip of v is at (−4,0.1) then its tail is at...
(−4.1,9.4)
sec^2(x)cos(x) = sec(x)
True or False?
True
y=1/16sec(x-π/2)
1. Vertical Stretching = ?
2. Period = ?
3. Phase shift = ?
4. Midline = ?
1. Vertical Stretching = 1/16
2. Period = 2π
3. Phase shift = π/2
4. Midline y=0
tan-1(-sqrt(3)/3) = ...?
-pi/6
the range of tan-1 is π/2 to −π/2,
Find all solutions of the equation tan5x−9tanx=0.
pi/3 or 1/3
Suppose we have a triangle with A=40∘, B=60∘ and c=4. Then a=...?
2.61081457866456
A bicycle with 30-inch diameter wheels is traveling at 10 mi/h. Find the angular speed of the wheels in rad/min.
703.99999
A forest ranger is watching the progress of a forest fire spreading towards her from the top of a 3261-foot mesa. In 2 minutes, the angle of depression to the leading edge of the fire changes from 10.13∘ to 12.56∘.
How many feet does the fire advance during the 2 minutes that the ranger is observing it? (whole number is ok!)
3614 / 3615
(3614.924747)
cos(x−3π/2)= ...?
−(sin(x))
a=9.8 b=11, A=50∘
number of possible triangles:
2
Suppose a car is traveling at 55 km/hr, and that the positive y-axis is north and the positive x-axis is east. Resolve the car's velocity vector (in 2-space) into components if the car is traveling in the north west direction ?
v=⟨−55/√2, 55/√2⟩