Angle Measure
The 1 and Only
Unit Circle
Unit Circle
Caught in a
Love Triangle
Love Triangle
Model
Talk It Like
I Walk It
I Walk It
100
Convert
theta=156^o
to exact radian measure (simplify your answer).
theta=(13pi)/15
100
Evaluate the exact value of
sin ((7pi)/4)=
y=-sqrt2/2
100
Find the exact value of "x".
4sqrt3
100
If AC is 47 meters, find the approximate height of the tree (round to the tenths).
32.9 meters
100
Degrees and radians are the units used when measuring what quantity?
Rotation
200
Find one positive angle (in exact radian measure) that is coterminal to
-(18pi)/4
theta=(3pi)/2
200
Evaluate the exact value of
cos (-(7pi)/6)=
x=-sqrt3/2
200
Find the exact value of x.
x=8
200
Find the approximate height of a tree meters (round to the nearest tenth).
6.7 meters
200
List 3 features that define a Unit Circle.
1. Radius of one unit
2. Centered at the origin (0,0)
3. Comprised of Special Right Triangles
300
The terminal side of an angle is in quadrant 3. If the cosine of that angle is -13/15, find the approximate value of the reference angle
theta'
in radians, round to the nearest hundredth.
theta'approx0.52
300
Estimate to the nearest tenth.
sin((29pi)/24)approx
yapprox-0.6
300
Find the approximate value of x in degrees.
Round to the tenths place (image not to scale).
xapprox66.8^o
300
Two cables, s and r, are attached to a flag pole. The combined length of the cables is 50 feet. Find x to the nearest tenth of a degree.
x^oapprox32.2^o
300
Secant, cosecant and cotangent have a relationship with cosine, sine and tangent respectively. What is that relationship?
Reciprocals
400
If the cosine & tangent ratios of a right triangle created by an angle are negative and the reference angle is
theta=(3pi)/11
radians, find the original positive angle in exact radians.
theta=(8pi)/11
400
Evaluate the exact value of
cot ((14pi)/3)=
-sqrt3/3
400
Each triangle below is a 30-60-90 triangle. The hypotenuse of the triangle to the right is twice as long as the long leg of the triangle to the left. If the short leg of the smallest triangle is given. Find the exact value of "a".
a=9
400
A cylinder with a radius of 12 cm rotates at an angular speed of 5 radians per second. Find the linear speed of a point on the edge of the cylinder in meters per second.
0.6 m/s
400
What is the amount of rotation that has occurred between two radii of a circle when the arc length along the edge of the circle is equal to the radius of the circle?
1 radian
500
Given that the angle
angleCOD
is 0.4 radians, find the length of the radius OB.
OB=4.5 cm
500
Evaluate the exact value of the expression over the interval
0<=theta<=2pi
tan^-1(csc(-(3pi)/2))=
theta=(pi)/4, (5pi)/4
500
Write an algebraic expression for
sec(theta)
in terms of x.
sec(tan^-1((3x)/5))
sec(theta)=sqrt(9x^2+25)/5
500
Solve for the approximate height of the pyramid (distance from base to point E). Round to the hundredths place.
happrox9.77 cm
500
What is the relationship between
(2pi)/5
and the following angles:
(3pi)/5,-(7pi)/5,(13pi)/5,-(17pi)/5
(2pi)/5
is the reference angle for all those angles.