Domain and Range
Unit Circle
Sin, Cos, Tan
Inverse Trig Functions
100
The domain for sine and cosine and the range of tangent and cotangent
All real numbers
100
The functions that find the x and y values respectively on the unit circle
Cosine and Sine
100
Fill in the blank: Cos and sin are functions that input an ________ and output the _______ and _______ values on the unit circle.
angle, x, and y
100
The two ways to write the inverse trig function of sine
arcsin and
sin^-1(x)
200
The range for sine and cosine
-1<=y<=1
200
The function that is the following ratio with x and y being values on the unit circle.
y/x
Tangent
200
By definition, using sin and cos
tan(theta)=
sin(theta)/cos(theta)
200
The two ways to write the inverse function of cosine
arccos and
cos^-1(x)
300
The domain of Tangent
All real numbers except
theta!={...-270,-90,90,270...}
300
The minimum and maximum degree and radian values on the unit circle
0 and 360
0 and 2pi
300
With a Calc find the missing side. Round to the nearest tenth.
17.5
300
Fill in the blank: The inverse functions input a number and output a(n) ____________ or ____________
angle or radian
400
The domain of arcsin and arccos
-1<=x<=1
400
tan(45)=
1
400
With a Calc find the missing side. Round to the nearest tenth.
3.8
400
With a Calc. Find the angle measure, round to the nearest degree.
38°
500
The domain and range of arctan
Domain: All real numbers
Range: -90<theta<90
500
sin(210)=
-1/2
500
Without a calc evaluate sin(135)=
sqrt(2)/2
500
With a calc, find the angle measure. Round the nearest degree.
55°
600
The range of arcsin and arccos
arcsin:
-90<=theta<=90
arccos:
0<=theta<=180
600
cos(330)=
sqrt(3)/2
600
Without a calc evaluate tan(270)=
DNE
600
Without a calc, evaluate arcsin(1)=
90°
700
The domain of cosecant and cotangent
All real numbers except
theta!={...-360,-180,0,180,360...}
700
The radian measure for 210°
(7pi)/6
700
Without a calc find the missing side, simplify.
5sqrt(2)
700
Without a calc, evaluate
arccos(-sqrt(3)/2)
150°
800
The range of Secant and Cosecant
y<=-1 and y>=1
800
tan((5pi)/3)=
-sqrt(3)
800
Without a calc find the missing side, simplify
(26sqrt(3))/3
800
Without a calc, evaluate
arctan(-sqrt(3))
-60°