Lessons 1-3
Two angles that add up to 90 are called:
Complementary
Given: 30 29' 14"
What is the value in decimal degrees to the nearest hundredth?
30.49
What is the reference angle for 150?
30
The quadrants where tan 0 is negative are
II and IV
The ratio adjacent/hypotenuse is called the:
cosine
The value of the cos 60 is:
1/2
In which quadrant does the terminal side of 445 lie?
Quadrant I
Given the angle -210, name the quadrant where the terminal angle stops, and give the reference angle.
II, 30
1/csc 0 is the same as:
sin 0
See Board
(To the nearest tenth, what is the measure of angle of measure o?)
47.1
See Board
(To the nearest tenth, what is the length of H?)
19.1
See Board
ref angle = 45
quadrant = IV
sin 0 = - 2/2
cos 0 = 2/2
tan 0 = -1
The value of sec 60 is:
2
See Board
(To the nearest tenth, what is the measure of angle 0?)
42.9
A building casts a shadow of 110 feet. if the angle of elevation from that point to the top of the building is 29.05, find the height of the building.
61.1 feet
See Board
Ref angle = 60
quadrant = I
sin 0 = 3/2
cos 0 =1/2
tan 0 = 3
An isosceles right triangle has a leg measurement of 4 2
What is the length of the hypotenuse?
8
See Board
(To the nearest tenth, what is the length of side H?)
16.2
A car traveled a distance of 100 feet up a ramp to a bridge. The angle of elevation of the ramp was 10. How high was the bridge above the level of the road?
17.4 feet
Prove:
-tan (-0) x sec (90 - 0) x cos (-0) = 1
(tan 0)(csc 0)(cos 0)
(sin 0/cos 0)(1/sin 0)(cos 0/1) = 1