CCS2H - Trigonometry - Assignment 8.2 Name: __________________________
Use your own paper where stated! Study trig ratio formulas - you need to know these on the quiz!
Draw the angles in standard position: (Use your own paper)
1. 123º
2. - 46º
3. 720º
4. - 216º
Find 2 coterminal angles:
8. 105º
9. - 390º
5. 40º
6. - 1024º
7. 215º
Find the trig ratios without using a calculator. Draw the angles in standard position, draw the reference triangle,
and label the sides, give the trig ratio. Rationalize answers. (Use your own paper!)
10. sin 45º 11. cos 120º 12. tan (- 210º) 13. csc 300º 14. sec (- 150º) 15. cot 240º
16. sin (- 315º) 17. cos (- 60º) 18. tan 135° 19. csc 240°
22. Find x without using your calculator.
20. sec 330°
21. cot (- 300°)
23. Find y without using your calculator.
30 x
3
y
60
30
8
Use your calculator to find the following angles. Round to 3 decimal places.
24. If sin y = - 0.345, then y = __________
25. If cot y = 0.467, then y = __________
26. Find x.
27. Find angle A.
4.9
x
34
A
1.8
5.3
28. A ladder 20 feet long is leaning against a building at a point 15 feet above the ground. What angle does the
ladder make with the ground?
29. Find the area of triangle ABC. Give EXACT answers (no decimals, no calculator).
(Hint: draw an altitude)
30.
31.
B
60
12
A
12
9
51.32 
12
x
C
45
15
A
3 3
32. Find: sin 60°, cos 45°, tan 30°, sec 45°, csc 30° (no calculator - on your own paper)
33. State the reference angle for each angle. (Hint: Sketch the angle in standard position)
a. 245°
b. 320°
c. -160°
d. 142°
e. 57°
f. 272°
34. Sketch a regular pentagon. Mark the center of the pentagon and divide the pentagon into 5 congruent,
isosceles triangles with the center of the pentagon being the vertex angle for each. If the perimeter of the
pentagon is 20 in., what is the height of the isosceles triangles?
35. A rhombus has diagonals of lengths 16 and 22. Find the angle measures of the interior angles of the
rhombus. (Use your own paper)
36. Assume a triangle has remote interior angles of 57° and 68°, what is the measure of the exterior angle?
37. Calculate the sum of the interior angles of a heptagon. (show your work!)
38. Calculate the measure of each interior angle of a regular heptagon. (show your work!)
39. Calculate the sum of the exterior angles of a heptagon. (justify your answer)
40. Calculate the measure of each exterior angle of a regular heptagon. (show your work!)