Basics of Trig
Radians
θ must be in ________!
subtends
__________ means to cut out or intersects
Ray
a ____ or half line, is the portion of a line that starts at point V on the line and extends indefinitely in one direction
0
0 Degrees = ___ Radians
One Second
1" (____ ______) =1/3600 Degree
One Second
1" (____ ______) =1/60 ' (1/60 minute)
One Minute
1' (____ ______)=1/60 Degree
One Minute
1' (____ ________)=60 " (60 seconds)
360
2π = _____ degrees
120
2π/3 Radians = _______ degrees
270
3π/2 = ______ degrees
Central
A ______ angle is a positive angle whose vertex is at the center of a circle.
Quadrantal
A _________ angle occurs when the terminal line lies on the x or y axis.
π
A circle has 2 ___ radians
Standard Position
An Angle in ________ ________ has a Vertex that lies on the origin. Initial side lies on the POSITIVE (right) part of the X axis. A positive angle travels COUNTERclockwise from initial to terminal side; a negative angle travels CLOCKWISE.
initial terminal
An angle has an ______ side and a ______ side.
standard position
An angle is in _______ _________ when the vertex is at the origin, and it's initial side coincides with the positive X-axis (right of the y axis)
Obtuse
Angle greater than 90d but less than 180d
Acute
Angle less than 90d
Straight
Angle that is 180d (1/2 a revolution, counter clockwise)
Coterminal
Any two angles that have the same terminal side are __________ angles.
s=rθ
For a circle of radius r, a central angle of θ radians subtends an arc whose length s is ____________.
Quadrantal
If the terminal side also lies on an axis (90 d or 180 d, or 270 d)
Angle
If two rays are drawn with a common vertex, they form an __________.
rθ
On a circle of radius (r), a central angle of (Theta) subtends an arc of length s = ____* ____.
Arc Length
S=r*θ is known as the _____ _______ Formula.
Radius
The ______ is exactly as long as the arc of the circle it intersects.
A=1/2r^2θ
The formula for Area A of the sector of a circle of radius r formed by a central angle of THETA radians is _________
Vertex
The starting point of a Ray is called it's _______.
360 degrees
To calculate coterminal angles add or subtract ____ ______ to the original angle.
True
True or False: 180 Degrees = π Radians
exactly equal
When an angle Theta interesects a standard circle, it carves out an arc, whose length is _____ ________ to the radius of the circle.
Radians to Degrees
X * 180/π
Degrees to Radians
X * π/180
1 degree
___ ________=60' (60 minutes)
360
____ degrees =1 counterclockwise revolution
Theta
_______ measures exactly one radian.
Right
angle equals 90d, 1/4 revolution, counter clockwise 90d
1/360
one degree is ____/_____ revolution.
much bigger
radians are ______ ________ than degrees
2π radians
s=rθ, 2πr = rθ, θ = ___ ___ _______.
180
π = ____ Degrees
90
π/2 Radians = ____ degrees
60
π/3 Radians = ____ degrees
45
π/4 Radians = ___ degrees
30
π/6 Radians = ____ degrees
