What are coterminal angles?
When the terminal sides of two angles of different measure coincide.
What is the radian measure equivalent to 90∘.
pi/2
Find the arc length given the radius and angle in radians, round your answer to the nearest tenth:
(3pi)/4,r=10
s=thetar
23.6
The coordinates on the unit circle that correspond to the angle
pi
(-1,0)
find the
tan(theta)
1
Find a positive angle between 0∘ and 360∘ that is coterminal with an angle of 400∘
40∘ or 760∘ or anything where you add multiples of 360 to 400
What is the radian measure equivalent to 210∘.
(7pi)/6
Find the arc length given the radius and angle in radians, round your answer to the nearest tenth:
(5pi)/3,r=54
s=thetar
282.7
What are the coordinates of
cos((3pi)/2)
(0,-1)
Find the
tan(theta)
-8/15
Find a negative angle between −360∘ and 0∘ that is coterminal with an angle of 100∘
-260∘ or keep subtracting 360 from 100
The degree measure equivalent to
(5pi)/4 radians
225 degrees
In the arc length formula, what does theta have to be in?
RADIANS not degrees, if it's in degrees you have to convert it to radians
The angle, in radians between 0 and
2 pi
where the
sintheta=-sqrt(3)/2 and costheta=1/2
theta=(5pi)/3
Find the
cos(theta)
-15/17
A positive angle between 0 and
2pi
that is coterminal with an angle of
(3pi)/(4
(11pi)/4
(3pi)/4 + 2pi
(3pi)/4 + (8pi)/4=(11pi)/4
What is the formula used to convert a degree measure θ∘ to its radian equivalent.
pi/180
Find the arc length given the radius and angle in degrees:
theta=180,r=1
s=thetar
pi
What angle has a value of
tan((5pi)/4)
225
Find the
sin(theta)
8/17
A negative angle between −2π and 0 that is coterminal with an angle of
-pi/3
(-7pi)/3
The degree measure equivalent to 3pi radians.
540
Find the arc length given the radius and angle in degrees, round your answer to the nearest tenth:
theta=120,r=3
s=thetar
6.3
What is the angle, in degrees between 0∘ and 360∘, where
sin(theta)=sqrt(2)/2
and
tan(theta)=-1
135 degrees
Find the
sin(theta) and cos(theta)
sin(theta)=-sqrt(2)/2,cos(theta)=-sqrt(2)/2