Trigonometry Quizzes

1. Trigonometry Quizzes Quiz #1 Quiz #2 Quiz #3 Quiz #4 Quiz #5 Quiz #6 Quiz #7 Quiz #15 Quiz #16 Quiz #17 Quiz #18 Quiz #19 Quiz #20 Quiz #21 Quiz #8 Quiz #9 Quiz #10 Quiz #11 Quiz #12 Quiz #13 Quiz #14

2. c a  b Definitions of TrigonometricValues of Acute Anglesof a Right Triangle • For the triangle at the right … sin  = __________ cos  = __________ tan  = __________ cot  = __________ sec  = __________ csc  = __________

3. c a  b Definitions of TrigonometricValues of Acute Anglesof a Right Triangle • For the triangle at the right … sin  = __________ cos  = __________ tan  = __________ cot  = __________ sec  = __________ csc  = __________

4. 26 24  10 Definitions of TrigonometricValues of Acute Anglesof a Right Triangle • For the triangle at the right … sin  = __________ cos  = __________ tan  = __________ cot  = __________ sec  = __________ csc  = __________ Simplify your answers by reducing any fractions!

5. 26 24  10 Definitions of TrigonometricValues of Acute Anglesof a Right Triangle • For the triangle at the right … sin  = __________ cos  = __________ tan  = __________ cot  = __________ sec  = __________ csc  = __________ Simplify your answers by reducing any fractions!

6. Given that cot  = 1.5, determine the following: sin  = ______ cos  = ______ tan  = ______ sec  = ______ csc  = ______ c a  b Trigonometric Values of the Acute Angles of a Right Triangle. Hint: Let 1.5 = 3/2 and determine the values of a, b, and c in the diagram.

7. Given that cot  = 1.5, determine the following: sin  = ______ cos  = ______ tan  = ______ sec  = ______ csc  = ______ c a  b Trigonometric Values of the Acute Angles of a Right Triangle. Hint: Let 1.5 = 3/2 and determine the values of a, b, and c in the diagram.

8. a = 6 b = 8 c = 10 -------------------- sin  = ______ cos  = ______ tan  = ______ sec  = 5 -------------------- sin  = ______ cos  = ______ tan  = ______ cot  = ______ csc  = ______ c a  b Trigonometric Values of the Acute Angles of a Right Triangle. Simplify your answers by reducing any fractions!

9. a = 6 b = 8 c = 10 -------------------- sin  = ______ cos  = ______ tan  = ______ sec  = 5 -------------------- sin  = ______ cos  = ______ tan  = ______ cot  = ______ csc  = ______ c a  b Trigonometric Values of the Acute Angles of a Right Triangle. Simplify your answers by reducing any fractions!

10. Trigonometric Values of Special Angles Complete the following table. Answers must be exact.

11. Trigonometric Values of Special Angles Complete the following table. Answers must be exact.

12. B A = _________ B = _________ C = 90° a = _________ b = 7 c = 10 A = 52° B = _________ C = 90° a = 17 b = _________ c = _________ c a A C b Solve the Following Triangles(Use a calculator and round answers to 1 decimal place.)

13. B A = _________ B = _________ C = 90° a = _________ b = 7 c = 10 A = 52° B = _________ C = 90° a = 17 b = _________ c = _________ c a A C b Solve the Following Triangles(Use a calculator and round answers to 1 decimal place.)

14. Give exact answers. No calculators!

15. Give exact answers. No calculators!

22. Find the coterminal angle between 0 and 2 for each of the following: -5/6 8/3 • Find the reference angle (between 0 and /2) for each of the following: 3/4 5/6 • Give the following trig values: sin(/6) = cos(3/4) = tan(-/3) =

23. Find the coterminal angle between 0 and 2 for each of the following: -5/6 8/3 • Find the reference angle (between 0 and /2) for each of the following: 3/4 5/6 • Give the following trig values: sin(/6) = cos(3/4) = tan(-/3) =

28. Complete the following identities:

29. Complete the following identities:

36. State ONE of the Pythagorean identities. • State ONE of the double angle identities. • State ONE of the sum/difference identities. • Evaluate the following (exact answers without a calculator): • sin (7/6) = • arctan (-1) = • cos -1(-1/2) = • Evaluate the following (use a calculator and round to 2 decimal places): • csc (1.8) = • cot -1(5) = • arcsec (0.3) =

37. State ONE of the Pythagorean identities. • State ONE of the double angle identities. • State ONE of the sum/difference identities. • Evaluate the following (exact answers without a calculator): • sin (7/6) = • arctan (-1) = • cos -1(-1/2) = • Evaluate the following (use a calculator and round to 2 decimal places): • csc (1.8) = • cot -1(5) = • arcsec (0.3) =

42. Determine the Polar coordinates for the point (-5, 200º) that satisfies the following criteria: r > 0 & 0º <  < 360º (___, ___º) r < 0 & -360º <  < 0º  (___, ___º) Convert from Polar to Cartesian: (0, 120º) = (___, ___) (7, -45º) = (___, ___) r = 3sin - 4cos __________________ Convert from Cartesian to Polar: (0, 12) = (___, ___º) (7, -7) = (___, ___º) 2xy = 1  __________________

43. Determine the Polar coordinates for the point (-5, 200º) that satisfies the following criteria: r > 0 & 0º <  < 360º (___, ___º) r < 0 & -360º <  < 0º  (___, ___º) Convert from Polar to Cartesian: (0, 120º) = (___, ___) (7, -45º) = (___, ___) r = 3sin - 4cos __________________ Convert from Cartesian to Polar: (0, 12) = (___, ___º) (7, -7) = (___, ___º) 2xy = 1  __________________