Trigonometery part 2

This math presentation tutorial provides a basic introduction to trigonometric ratios in different quadrants. Explain the rules by which we remember these trigonometric ratios values. It explains the ASTC rule. this video also explains in detail applications and uses of trigonometry.

1. Sin,cos,tan in different quadrants application and uses of trigonometry

2. On a set of axes, angles are measured anti-clockwise from the positive x-axis .

3. The angles which lie between 0° and 90° are said to lie in the first quadrant. The angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant and angles between 270° and 360° are in the fourth quadrant:

4. Angles in different quadrant;

5. In the first quadrant, the values for sin, cos and tan are positive. In the second quadrant, the values for sin are positive only. In the third quadrant, the values for tan are positive only. In the fourth quadrant, the values for cos are positive only.

6. How to remember;

7. What is the ASTC rule? The abbreviation for 'all sin cos tan' rule in trigonometry is ASTC. It can be memorized as "All Students Take Calculus". The first letter of the first word in this phrase is 'A'. This may be taken to indicate that all trigonometric ratios in the first quadrant are positive.

8. Appliction and uses; The fundamental trigonometric functions like sine and cosine are used to describe the sound and light waves . Trigonometry is used in oceanography to calculate heights of waves and tides in oceans . I n the creation of maps. I n satellite systems.

9. By Trigonometry we measured the height of a building or mountains. Trigonometry in video games Gaming industry is all about IT and computers and hence Trigonometry is of equal importance for these engineers.

10. Trigonometry in construction : Measuring fields, lots and areas ; Making walls parallel and perpendicular ; Installing ceramic tiles ; Roof inclination ; The height of the building, the width length etc. and the many other such things where it becomes necessary to use trigonometry . Architects use trigonometry to calculate structural load, roof slopes, ground surfaces and many other aspects, including sun shading and light angles.

11. Trigonometry use in flight engineering. Trigonometry use in physics. Trigonometry use in marine biology. Trigonometry used in navigation. Calculus is made up of Trigonometry and Algebra.