March of 2016 (Pre-Calculus 5.0)
3/1/16
Draw, label, and solve.
A boat sails S50°E for 80 miles then N70°E for 95 miles. What is the bearing and distance
back to the marina?
3/2/16
Draw, label, and solve.
Two planes, one flying at 450 miles per hour and the other at 300 miles per hour, left an
airport at the same time. Three hours later, they were 1200 miles apart. What is the
measure of the angle between their flight paths?
A plane flying at 450 miles per hour for N25°W and then 300 miles per hour for S45°W. If
the plane travels 4 hours, find the distance and bearing to starting point.
3/3/16
Calculate the area of the following triangles.
C
A
12
A
B
70
9
10
15
B
74
C
3/4/16
Find the area of the following triangles nearest tenth.
a  41.5m b  40.6m c  52.4m
Find the final distance (red) and bearing.
3/7/16
Write the extended ratios of 30  60  90 and 45  45  90 triangles when short leg
length is x .
Complete the following diagram by placing the angle measure in the spaces provided.
y
x
3/9/16
Sketch the following angles and find one negative and one positive coterminal angle for each. Note
what quadrant the terminal side lies in.

2. 185
1. 350
Quad____
Quad____
Find the complement and supplement for the following angles.
3. 23
4. 220
3/10/16
Sketch the following angles and find one negative and one positive coterminal angle for each. Note
what quadrant the terminal side lies in.
1. 3 
2. 13 
4
6
Quad____
Quad____
Find the complement and supplement for the following angles.
3. 
4. 
6
3
3/11/16
Find the complement and supplement for the following angles.
1) 57
2) 1.14 rad
3)
7
10
3/14/16
Find two negative and two positive coterminal angles for the following.
1) 335
2) 3.54 rad
3)
7
2
3/15/16
Find complementary angles and supplementary angles for the following.
1) 135
2) 2.54 rad
3)
7
3
3/16/15
Find the circumference of a circle with following.
1) radius = 8 in
2) diameter = 8 in
3) radius = r
3/17/16
1) If a circle has a radius of 12 inches, find the length of the arc intercepted by a central angle
of 200 .
2) Find the radian measure of the central angle of a circle with a radius of 32.4 cm that intercepts
an arc of length 12 cm.
3) Find the DEGREE measure of the central angle of a circle with a radius 23 feet that intercepts
an arc of length 5.85 feet.
3/18/16
1. Find the speed in miles per hour of a plane that can covers 1,750 miles in 90 minutes.
2. Find the angular displacement in radian of Earth for a day.
3. Find the angular displacement in radian of Earth about the sun in 30 days. Assume
Earth’s orbit around the sun is circular.
3/21/16
1. Find the angular speed  (rad/sec) and linear speed v (cm/sec) of a point that is located
60 cm from center of wheel. It turns 24 rotations in 6 seconds.
2.
Earth has an equatorial radius of approximately 3,959 miles. A fastest satellite rotates
the earth every 90 minutes. The satellite’s orbit is around 130 miles above the earth
surface. Find the angular speed  (rad/hr.) and linear speed v (mile/hr.) of the
satellite.
3/22/16
Find the six trig functions (exact) of the angle.
3
θ
5
12
θ
10
sin  = ____
csc  = ____
sin  = ____
csc  = _____
cos = ____
sec  = ____
cos  = ____
sec  = _____
tan  = ____
cot  = ____
tan  = ____
cot  = _____
3/29/16
Complete followings.
1. Angular Displacement (𝛉): _______ measure in radian.
2. Angular Speed (𝛚) =
3. 1 Rotation = _______ degree = ________radian.
4. Linear Speed (𝛄) =
5. Radius of Earth ≈ _________ miles.
3/**/16
Answer and find the six trig functions (exact) of the angle.
3
θ
-5
(3 , -5)
Positive Coterminal angle to the Hypotenuse in degree: ______
Negative Coterminal angle to the Hypotenuse in degree: ______
Quadrant of the terminal side: _______
sin  = ____
csc  = ____
cos = ____
sec  = ____
tan  = ____
cot  = ____
3/**/16
Find the six trig functions of  that satisfy the given conditions.
1)
2)
(- 4, 6)
(2, 4)
sin  = ____
csc  = ____
sin  = ____
csc  = _____
cos = ____
sec  = ____
cos  = ____
sec  = _____
tan  = ____
cot  = ____
tan  = ____
3/**/16
Determine the quadrant in which  lies.
1. tan  > 0 and sin  < 0 ______
2. sin  > 0 and cos  < 0 ______
3. sec  > 0 and tan  < 0 ______
4. cot  > 0 and cos  > 0 ______
cot  = _____
3/**/16
Find the trig ratio in exact using condition below.
csc  = 2 ; tan  < 0
sin  = ____
csc  = ____
cos = ____
sec  = ____
tan  = ____
cot  = ____
3/**/16
Complete the table in exact values.
Degrees
Radians
sin 
cos 
ta n 
0
30
45
60
90