Download Pre-calculus H

Pre-Calculus
Review Unit 6 Lessons 1-4
Pre-Calculus Honors Agenda
1. Do Now: Finding the exact value of a trig function using points on
the terminal side of a special right triangle. Pick up today’s
classwork.
2. Go over homework
3. Quiz Review Lessons 1-4
 How to find the exact value of all trig ratios, in simplest
radical form, given a ratio of one trig function or a point on
the terminal side
 How to find the exact trig value given an angle in radians or
degrees
 How to tell if a trig function is positive or negative in each
quadrant
 Real world applications.
Pre-Calculus
Review Unit 6 Lessons 1-4
Name: _______________________________________________________
Pre-Calculus Honors
Unit 6 Lesson 1-4 Review Do Now:
Directions: sketch the angle in standard position. Determine the coordinates of a point on the
terminal side of the angle. Then find the exact value of the trig function without using a calculator.
 19 
tan 

 6 
Name: _______________________________________________________
Pre-Calculus Honors
Unit 6 Lesson 1-5 Review Do Now:
Directions: sketch the angle in standard position. Determine the coordinates of a point on the
terminal side of the angle. Then find the exact value of the trig function without using a calculator.
 19 
tan 

 6 
Pre-Calculus
Review Unit 6 Lessons 1-4
Pre-calculus H
Book Reference 4.3
Unit 6 Lesson 1-4
1. Point P= (2, -4) is on the terminal side of the angle  .
(a) Sketch  in standard position. Assume  is a positive angle.
(b) Find the exact value of the six trigonometric function of  .
In 2-9, sketch the angle in standard position. Then find the exact value of the trig function
without using a calculator (graphing or scientific).
7p
6
5p
4
3.
csc
3p
2
5.
sin-
2. sec-
4.
cot
6.
cos(-120°)
8. cos(-
13p
)
2
p
2
æ 23p ö
7. cot ç
÷
è 6 ø
æ -10p ö
÷
è 3 ø
9. sin ç
10. Given: cosq = - 2 and sinq < 0 .
5
(a) Name the quadrant in which  lies. Explain your answer.
(b)Find tan  and sec  .
11. Given: sinq = 1 and tanq < 0 .
4
(a) Name the quadrant in which  lies. Explain your answer.
(b)Find cosq and cot q .
Pre-Calculus
Review Unit 6 Lessons 1-4
Trig Word Problems (Calculator is allowed)
1. An observer is 380 feet from a hot air balloon before it lifts off. Determine the angle of
elevation, when the balloon reaches a height of 240 feet. State your answer in degrees
and round to one decimal place.
2. From a point on the floor, the angle of elevation to the top of a door is 47°? While the
angle of elevation above the door is 59°. If the ceiling is 10 ft above the floor, what is the
vertical dimension of the door?
3.
Page 116
Hon Alg 2/Trig First Semester Mult Choice Practice
196. After leaving the runway, a plane's angle of ascent is
and its speed is 272 feet per
second. How many minutes will it take for the airplane to climb to a height of 14,000 feet?
Round answer to two decimal places.
a) 0.82 minutes
b) 2.67 minutes
c) 1.10 minutes
d) 1.53 minutes
e) 2.10 minutes
4.
Page 101
Hon Alg 2/Trig First Semester Mult Choice Practice
159. While traveling across the flat terrain of Nevada, you notice a mountain directly in front of
you. You calculate that the angle of elevation to the peak is
, and after you drive
miles closer to the mountain it is
. Approximate the height of the mountain peak above
your position. Round your answer to the nearest foot.
a) 12000 feet
b) 12695 feet
c) 13234 feet
d) 14016 feet
e) 15690 feet
160. The angle of elevation of the sun is
. Find the length, l, of a shadow cast by a tree that
is 50 feet tall. Round answer to two decimal places.
a)
feet
b)
feet