Trigportfolio

Trigonometry Portfolio  What is Trigonometry? The branch of mathematics that deals with the relationships between the sides and the angles of triangles and the calculations based on them, particularly the trigonometric functions. Now how many types of Triangles are there? forget check the chart below it will help freshen up your memory.  Now there are many ways to calculate those angles. One of the ways that i will show you right now is TRIGONOMETRIC RATIOS. Better used to calculate RIGHT triangles. Before i start we need to know some Key words about triangles or vocabulary. Hypotenuse : The long side of a right triangle, always across from the right angle. Opposite : The Side across from the angle we are considering, not the hypotenuse. Adjacen t: The side closest to the angle we are considering, not hypotenuse. Check out this triangle below it helps. :) Now there is a simple formula and ratio for calculating such triangles. SohCahToa or

By using this simple Trig ratio, you could figure out the lenghts of respective triangles. Here's an example:

You are Standing 100m from a building that is 50 m tall. What is the inclination to the top?

lets sketch out the triangle and use SohCahToa to figure it out.



There are also reciprocal trigonometric ratios they are very simple, they are just basically the reciprocals of the primary trigonometric ratios hence the name :).

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Sine And cosine law: Better used to solve oblique traingles.

An oblique triangle is a traingle that does not contain triangle, so then we cannot use the primary trigonometric ratio fo SohCahToa so then we use The sine Law or the Cosine Law depending on the in formation Given.



The sine law looks like this Given any triangle, the sine law can be used if you know Two sides and one angle opposite a given side, or two angles and any side. Here's how to use it check out this video :):  media type="youtube" key="aVry2ZwtitM?rel=0" height="390" width="480" align="center"

THE AMBIGUOUS CASE The ambiguous case happens when you have a triangle with two side and one angle given. In this situation, depending on the size of the given angle adn the lenghts of the sides, the sine law may lead to zero, one, or two solutions. And also the cosine law which looks like this. media type="youtube" key="YidoZm5Acao?rel=0" height="390" width="480" align="center"

There are special triangles that we have to work with in trigonometry. These are the right triangles with two angles of 45 degrees or angles of 30 and 60 degrees. We use special triangle ratios found on the table below.

3- Dimensional Applications Three dimensional applications are more complex as you need to consider triangles in at least 2 planes. They could be solved using some combination of these approaches: Trig ratios, the pythagorean theorem, the sine law, the cosine law. The approach you use depends on the given information and waht you are asked to find.

Check out this video.

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And this is a little test that i had to do :)