MAT 170 CH 4 Vocab
there exists a positive number p such that f(t+p) = f(t)
A function is periodic if _____ ?
angle of elevation
An angle formed by a horizontal line and the line of sight to an object above the horizontal line is the ________?
angle of depression
If the angle is formed by a horizontal line and a line of sight to an object below the horizontal line is the ________?
periodic
Tangent and cotangent functions are _____ functions.
pi
The period of cot and tan is _____.
Tangent, secant
The trigonometric functions that are undefined when x=0 is _____ and _____.
Cosecant, cotangent
The trigonometric functions that are undefined when y=0 is _____ and _____.
Tangent, cotangent
The trigonometric functions that do not depend on the value of r are _____ and _____.
coterminal angles
Two angles with the same initial and terminal sides but possibly different rotations
90 degrees
Two positive angles are complements if their angles add up to _____.
-1 to 1
When the inverse of cosx is restricted, the domain is ____.
0 to pi
When the inverse of cosx is restricted, the range is ____.
-1 to 1
When the inverse of sinx is restricted, the domain is _____.
-pi/2 to pi/2
When the inverse of sinx is restricted, the range is _____.
negative infinity to positive infinity
When the inverse of tanx is restricted, the domain is ____.
-pi/2 to pi/2
When the inverse of tanx is restricted, the range is _____.
cosine and secant
Which trigonometric functions are even?
vertex
a common endpoint formed by two rays
ray
a line that has only one endpoint and extends forever in the opposite direction.
standard position
an angle is in _____ _____ if its vertex is at the origin and its initial side lies along the positive x-axis.
negative angle
angles that are generated by a clockwise rotation
positive angle
angles that are generated by a counter-clockwise rotation
radian measure
any central angle that is the length of the intercepted arc divided by the circle's radius.
unit circle
circle with a radius of 1 and has its center at the origin.
cot(t)
cos(t)/sin(t) = ?
1 + cot^2(t)
csc^2(t) = ?
angle
formed by two rays with a common endpoint
trigonometry
measurement of triangles
1 + tan^2(t)
sec^2(t) = ?
tan(t)
sin(t)/cos(t) = ?
radian
the measure of the central angle of a circle that intercepts an arc equal in length to the radius of the circle.
linear speed
v=s/t
angular speed
w=angle/t