Algebra 2 Angles in Standard Position
HW: SHOW ALL WORK on the worksheet
1.
a) Draw an angle in standard position measuring 135𝑜
(Estimate the measure)
b) Label the initial side, terminal side, and vertex
2. If the terminal side of an angle, 𝜃, in standard position goes through the point (1, 2), evaluate the
six trig functions of 𝜃 and find the positive measure of 𝜃:
a) sin 𝜃 =
b) cos 𝜃 =
c) tan 𝜃 =
d) csc 𝜃 =
e) sec 𝜃 =
f) cot 𝜃 =
3. If the terminal side of an angle, 𝜃, in standard position goes through the point (-8, 15), evaluate
the six trig functions:
a) sin 𝜃 =
b) cos 𝜃 =
c) tan 𝜃 =
d) csc 𝜃 =
e) sec 𝜃 =
f) cot 𝜃 =
4. If the terminal side of an angle, 𝜃, in standard position goes through the point (-3, -4), evaluate
the six trig functions:
a) sin 𝜃 =
b) cos 𝜃 =
c) tan 𝜃 =
d) csc 𝜃 =
e) sec 𝜃 =
f) cot 𝜃 =
5. If the terminal side of an angle, 𝜃, in standard position goes through the point (1, -8), evaluate
the six trig functions:
a) sin 𝜃 =
b) cos 𝜃 =
c) tan 𝜃 =
d) csc 𝜃 =
e) sec 𝜃 =
f) cot 𝜃 =
Algebra 2 Angles in Standard Position
6. Look at your answers to #2-5 and fill in the table stating whether the trig functions were positive
or negative in each quadrant:
sin
Quad I
(#2)
Quad II
(#3)
Quad III
(#4)
Quad IV
(#5)
cos
tan
csc
sec
cot
+
5
7. If sin 𝜃 = 9 and 𝜃 terminates in QII, evaluate the other trig functions and determine the
positive measure of 𝜃
a) sin 𝜃 =
b) cos 𝜃 =
c) tan 𝜃 =
d) csc 𝜃 =
e) sec 𝜃 =
f) cot 𝜃 =
3
8. If tan 𝜃 = − 7 and 𝜃 terminates in QIV, evaluate the other trig functions and determine the
positive measure of 𝜃
a) sin 𝜃 =
b) cos 𝜃 =
c) tan 𝜃 =
d) csc 𝜃 =
e) sec 𝜃 =
f) cot 𝜃 =