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