# Chapter 12: Application of Trigonometry

Notes (Solutions) of Chapter 12: Application of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

### Contents & summary

- Introduction
- Tables of Trigonometric Ratios
- Exercise 12.1

- Solution of Right Triangles
- Exercise 12.2

- Heights and Distances
- Engineering and Heights and Distances
- Exercise 12.3

- Oblique Triangles
- The Law of Cosine
- The Law of Sines
- The Law of Tangents
- Half Angle Formulas

- Solution of Oblique Triangles
- Case I : When measure of one side and two angles are given
- Exercise 12.4
- Case II : When measure of two sides and their included angle are given
- Exercise 12.5
- Case III : When measures of three sides are given
- Exercise 12.6

- Area of Triangle
- Exercise 12.7

- Circles Connected with Triangle
- Circum-Circle
- In-Circle
- Escribed Circles

- Engineering and Circles Connected with Triangles
- Exercise 12.8

### List of formulas of Chapter 12

### Solutions

- Exercise 12.1 | View Online | Download PDF (91.56 KiB, 3740 downloads)

- Exercise 12.2 | View Online | Download PDF (89.11 KiB, 4366 downloads)

- Exercise 12.3 | View Online | Download PDF (217.86 KiB, 5310 downloads)

- Exercise 12.4 | View Online | Download PDF (175.28 KiB, 4722 downloads)

- Exercise 12.5 | View Online | Download PDF (138.65 KiB, 5549 downloads)

- Exercise 12.6 | View Online | Download PDF (167.01 KiB, 1570 downloads)

- Exercise 12.7 | View Online | Download PDF (156.92 KiB, 35312 downloads)

- Exercise 12.8 | View Online | Download PDF (184.49 KiB, 6592 downloads)

### Short Questions

The following short questions was send by Mr. Akhtar Abbas.

- Chapter 12 | View Online | Download PDF (139 KiB, 2442 downloads)

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