Application of Trigonometry

Maths, HSSC-KPK First Year. This chapter is split into 43 topics and has 988 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Review Exercise 11: solving oblique triangles 21 questions
2. Right triangle with a side and an angle given 25 questions
3. Law of sines: statement 24 questions
4. Area of a triangle from two sides and the included angle 26 questions
5. Law of sines: proof 21 questions
6. Half angle formulae for sine and tangent 22 questions
7. Circumcircle, incircle and escribed circles 22 questions
8. Law of cosines: statement 24 questions
9. Solving triangles with three sides given 24 questions
10. Circumradius from a side and its opposite angle 22 questions
11. Inradius: derivation of r = Area/S 24 questions
12. Equilateral and right triangles: R, r and exradii 22 questions
13. Law of sines with two angles and a side 24 questions
14. Cosine of the angles in terms of sides 20 questions
15. Right triangle with two sides given 25 questions
16. Law of sines: finding an angle 21 questions
17. Heights from two observation points 24 questions
18. Circumradius of a triangle from its sides 26 questions
19. Exradii and circumradius: numerical problems 23 questions
20. Radius of an escribed circle: derivation 24 questions
21. Area of a triangle from one side and two angles 26 questions
22. Hero's formula for the area 21 questions
23. Angle of elevation and heights 25 questions
24. Inradius: numerical problems 22 questions
25. Resultant of forces and distance problems 24 questions
26. Choosing an area formula 21 questions
27. Area problems and worked examples 25 questions
28. Angle of depression 25 questions
29. Law of sines in applications 20 questions
30. Right triangle applications and review items 20 questions
31. Oblique triangles and the five cases 26 questions
32. Law of tangents: statement 21 questions
33. Half angle formula for cosine 20 questions
34. Isosceles triangle and mast problems 22 questions
35. Relations among R, r and the exradii 27 questions
36. Solving triangles with the law of tangents 22 questions
37. Law of cosines: proof 25 questions
38. Solving triangles by half angle formulae 23 questions
39. Law of cosines with two sides and included angle 25 questions
40. Law of cosines in geometry and special angles 21 questions
41. Ambiguous case of two sides and an opposite angle 23 questions
42. Trigonometry and solving a triangle 20 questions
43. Law of tangents: proof 20 questions