Download Calculus

Alg. II
I.
Find all the missing sides:
a)
1.
II.
Solve the right triangle if tan B =
3.
Change each degree measure to radians, and each radian measure to degrees.
3
c)
b)
280°
a)
Notes: §13.3
All
Calculus
Take
, and b= 8
Are angles that measure 53° and -307° coterminal?
Calculate:
sin 30° = ______ sin 150° = ______
Students
S
b)
2.
4.
Alg.II
§13.3
Warm up:
C
Calculus
Trig. Functions of General Angles ~
“A venture beyond acute angles!”
sin 210° = ______
sin 330° = ______
Unit Circle ~ exact values
30o
1. Find the exact value of: sin 45° =
sin 30° =
cos 45° =
cos 30° =
tan 45° =
tan 30° =
What do you notice? . . .
(x, y) ⇒ (cos θ, sin θ) and
tan θ =
sin θ
cos θ
Unit Circle ~ exact values
30o
1. Find the exact value of: sin 45° =
sin 30° =
cos 45° =
cos 30° =
tan 45° =
tan 30° =
What do you notice? . . .
(x, y) ⇒ (cos θ, sin θ) and
tan θ =
sin θ
cos θ
2. Find the exact value of each trigonometric function:
a. sin (135o)
d. csc (-390°)
b. cos (210o)
e. cot
Find the exact value of each of the following:
3.
cos 90° = _____
4.
sin 180° = _____
5.
cos 360° = _____
6.
sin 270° = _____
7.
tan 270° = _____
8.
cos (-180°) = ________ = _____
9.
cos (-90°) = ________ = _____
c. tan
f. tan (-510°)
What if the angle is over 360°?
10.
cos 630° = ________ = _____
11.
sin 540° = ________ = _____
12.
sin 450° = ________ = _____
13.
cos 720° = ________ = _____
14.
If sin θ =
and cos θ =
, the terminal side of θ must lie in Quadrant III.
Find the exact values of tan θ, csc θ, cot θ and sec θ.
15.
The terminal side of an angle θ in standard position passes through the point
P(3, 4). Find sin θ, cos θ & tan θ. (Not a unit circle)