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Triangles

Sin Cos and Tan

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Algebra
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Sin Cos Tan
In a right triangle where theta is given and a side is given you can solve for anything. To solve for the hypotenuse use the phrase SOH CAH TOA. If the angle and the opposite are given use opposite side divided by sin of the angle. and vice versa for all other sides and angles. Soh cah toa stands for Sin opposite over Hypotenuse Cosin adjacent over hypotenuse Toa opposite over adjacent all of these are with respect to theta.

Why triangles are equilateral!

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Because they are triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC. In Euclidean geometry any three non-collinear points determine a unique triangle and a unique plane (i.e. a two-dimensional Euclidean space).

Pythagorean Theorem

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Cathetus

This formula is extremely essential especially later on. Note that this formula only applies to right triangles.  The formula is

a^2+b^2=c^2

A and B being the two legs.

C being the hypotenuse of the triangle.

The hypotenuse (c) is the side opposite the largest angle in the triangle.  In this case for a right triangle, the hypotenuse will always be opposite of the right angle.

Inverses of Trigonometric Ratios

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Ratio
Inverses of Trigonometric Ratios You've learned how to use trig ratios to solve right triangles, finding the lengths of the sides of triangles. But what if you have the sides, and need to find the angles? You know that you can take side lengths and find trig ratios, and you know you can find trig ratios (in your calculator) for angles. What is missing is a way to go from the ratios back to the original angles. And that is what "inverse trig" values are all about. If you look at your calculator, you should see, right above the "SIN", "COS", "TAN" buttons, notations along the lines of "SIN–1", "COS–1", and "TAN–1", or possibly "ASIN", "ACOS", and "ATAN". These are what you'll use to find angles from ratios.

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