# Trigonometry

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1. What is the union of two rays w/a common end point called?
Angle
2. One degree is equal to?
60' or 60 minutes
3. One minute is equal to?
60" or 60 seconds
4. 360 degrees is equal to?
One revolution
5. What is the measure of an acute angle?
Between 0 and 90 degrees
6. What is the measure of a right angle?
Exactly 90 degrees
7. What is the measure of an obtuse angle?
Between 90 and 180 degrees
8. What is the measure of a straight angle?
Exactly 180 degrees
9. What is the measure of a reflex angle?
Between 180 and 360 degrees
10. 1/2 Rotation counter clockwise=
1/2x360 = 360/2 = 180 degrees
11. 2/3 Rotation clockwise=
2/3x360 = 720/3 = -240 degrees
12. 3/4 Rotation counter clockwise=
3/4x360 = 1080/4= 270
13. 5/8 Rotation counter clockwise=
5/8x360 = 1800/8=225 degrees
14. 1 1/4 Rotation clock wise=
1 1/4x360 = 5/4x360 = 1800/8=-450 or 1 rotation then stop at -90 degrees
15. 3 5/8 rotation clockwise=
3 5/8x360 = 29/8x360 = 10440/8 = -1305 or 3 rotations then stop at -225
16. What is it called when a triangle has two equal sides?
Isosceles Triangle
17. What is it called when all three sides of a triangle are equal?
Equilateral triangle
18. What is a triangle with no equal sides called?
Scalene triangle
19. What is a scalene triangle?
A triangle with no equal sides
20. What is an Isosceles triangle?
A triangle with two equal sides
21. What is an equilateral triangle
A triangle with all sides equal
22. If a=95* and b=45* what is c?
• a+b+c=180*
• 95*+45*+c=180*
• or
• 180*-(a+b)=c
• c=40*
23. If c is the right angle and b=40*20' then what is a=
• 180*-(c+b)=a
• 180*-(90*+40*20')=
• 180*-(130*20')=49*60'00"
• a=49*60'60"
24. Express the angle measure using degree, minutes and seconds.

10.5*
• 10* + 0.5* (60'/1)
• 10* + 30'
• 10* 30'
25. Express the angle measure using degree, minutes and seconds.

13* 3 1/3'
• 13* + 3' + 1/3' (60"/1')
• 13* + 3' + 20"
• 13* 3' 20"
26. Express the angle measure using degree, minutes and seconds.

42.72*
• 42* + 0.72' (60'/1)
• 42* + 43.2'
• 42* + 43' 0.2 (60"/1)
• 42* + 43' + 12"
• 42* 43' 12"
27. Express 95* 45' 45" in decimel degrees

60 minutes in one degree
3600 seconds in one degree
• 95* 45' 45"
• 95* + 45' (1/60) + 45" (1/3600)
• 95* + .75* + 0.0125*
• 95.7625*
28. Express 28* 18' 36" in decimel degrees
• 28* + 18' (1*/60") + 36 (1*/3600")
• 28* + .30* + 0.0100*
• 28.3100*
29. Convert degrees to radians multiply the given degree measure by?