Welcome to your Trigonometry II(Senior Class Math Study by Topics)

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1. If tan α = -4/3, find the value of (sin α + cos α).

±1/2

±4/5

±2/3

±3/5

2. Find a positive angle between 0° and 360° that is equivalent to 775°

117°

55°

237°

45°

3. If sec θ = 17/8 and θ is a positive acute angle, find the value of csc θ using Pythagoras theorem.

csc θ = 27/15

csc θ = 17/19

csc θ = 16/15

csc θ = 17/15

4. Solve the equation 4 cosx - 3 = 0 for 0° ≤x≤ 360°

12.5°

41.4°

234°

63°

5. Express cos (- 1555°) in terms of the ratio of a positive angle less than 30°.

cos 15°

sin 15°

cos 25°

-sin 25°

6. PQRS is a quadrilateral in which, PS is parallel to QR. PQ = 16cm, SR = 15 cm and angle QPS = 60° and angle PSQ = 44°. Calculate <QRS

67°

64°

24°

57°

7. Find the value of

cos 200° sin 160° + sin (- 340°) cos (- 380°)

-1

1

2

0

8. Find the value of tan (-84)°

-0.294

0.249

9.514

-9.514

9. Find the value of θ (0° ≤ θ ≤ 90°), when sin^{2} θ - 3 sin θ + 2 = 0

80°

90°

60°

70°

10. Find the value of cosec 90°

0

1

-1

2

11. Given that tan θ = -2.361, where 0° ≤θ≤ 360° , findθ

54.4°

9°

23°

113°

12. Find a positive angle between 0° and 360° that is equivalent to 650°

23°

44°

290°

124°

13. If 3 tan θ = 4, evaluate (3sin θ + 2 cos θ)/(3sin θ - 2cos θ).

2

1

4

3

14. Find a positive angle between 0° and 360° that is equivalent to -250°

74°

34°

283°

110°

15. Without using tables or any calculating device find the value of

√2-1

√3-1

√2-3

√2-2

16. A ship leaves port A and sails on a bearing of 040°. After 15 km the ship changes direction and sails on a bearing of 070°. If the ship sails a distance of 25 km on this bearing, find its bearing from port A

289.4°

083.2°

012.3°

058.8°

17. If sin A + cos A = 7/5 and sin A cos A =12/25, find the values of sin A and cos A

2/3, 4/5

3/5, 4/5

2/3, 1/3

3/5, 1/3

18. Find the value of sin 405°

0.5321

0.3245

0.7071

0.8453

19. Find a positive angle between 0° and 360° that is equivalent to -315°

105°

45°

421°

124°

20. PQRS is a quadrilateral with dimensions shown below

Calculate the length of the diagonal PR

4 cm

6cm

10 cm

7 cm

21. In the triangle below find a

13 cm

10.2 cm

8.7 cm

6 cm

22. Find the minimum value of cos^{2} θ + sec^{2} θ

-2

-1

1

2

23. If sin (x + y) = 1 and cos (x - y) = 3√232, find x and y.

x = 45° and y = 45°

x = 21° and y = 48°

x= 60° and y =30°

x = 30° and y = 90°

24. Solve the equation 7 = 2 + 4tanx for 0° ≤x≤ 360°

124°

51.3°

23.7°

87°

25. If sec 5θ = csc (θ - 36°), where 5θ is an acute angle, find the value of θ