Special Right Traingles

Hello! The topic that I'm going to talk about is important because this helps us get some points in the unit circle. They are called the Special Right Angled Triangles.

The angles in this triangles includes 30˚, 45˚ and 60˚ and in radians it's π/6, π/4 and π/3 respectively

But first we have to learn the Six Trigonometric Functions 

•         Sin θ= O/H
•         Cos θ= A/H
•         Tan θ= O/A
•         Csc θ= H/O
•         Sec θ=H/A
•         Cot θ= A/O

   First is the 45˚  triangle using an isosceles triangle. For us to find the sides of this triangle, we assume that the value of the adjacent and the opposite sides are 1. and to compute for the hypotenuse we use the Pythagoras' Theorem. 

    Next is for the 30˚ special triangle. Its adjacent side is calculated with also using the Pythagoras' Theorem. The opposite side is 1 and the hypotenuse is 2.    
    

    Last is the 60˚ special triangle. The value of its sides are the same with the 30˚ triangle. It's just that the opposite side is the square root of 3 and the adjacent side is 1. The hypostenuse stays the same with 2.

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