Download Trigonometry Worksheet: Circular Functions 1) Angles in Standard

Trigonometry
Worksheet: Circular Functions
1) Angles in Standard Position:
a) Draw an angle in standard position that
would measure about 135°. (Estimate the
measure of the angle.)
b) On the diagram, label the following items:
A - Initial Side
B - Terminal Side
C - Vertex of the Angle
c) Draw a point somewhere on the
terminal side, label it (x, y).
2) Six Trig Functions: Write the definition of each of the six trig functions in terms of x, y and r:
a)
b)
c)
d)
e)
f)
sin i
cos i
tan i
sec i
csc i
cot i
3) If the terminal side of an angle, i , goes through the point, (1, 2), evaluate the six trig functions:
a)
b)
c)
d)
e)
f)
sin i
cos i
tan i
sec i
csc i
cot i
4) If the terminal side of an angle, i , goes through the point, (-8, 15), evaluate the six trig
functions:
a)
b)
c)
d)
e)
f)
sin i
cos i
tan i
sec i
csc i
cot i
5) If the terminal side of an angle, i , goes through the point, (-3, -4), evaluate the six trig
functions:
a)
b)
c)
d)
e)
f)
sin i
cos i
tan i
sec i
csc i
cot i
6) If the terminal side of an angle, i , goes through the point, (5, -12), evaluate the six trig
functions:
a)
b)
c)
d)
e)
f)
sin i
cos i
tan i
sec i
csc i
cot i
7) Looking at your answers to #3 - 6, fill in the following table, stating whether the trig values were
positive or negative in each of the quadrants.
In problem #3, the point (1, 2) is in Quadrant I. The sin i was positive. For all angles
terminating in QI, sin i will be positive, because y and r are both positive in QI.
sin
Quad I
(#3)
Quad II
(#4)
Quad III
(#5)
Quad IV
(#6)
+
cos
tan
csc
sec
cot