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Wednesday, November 19, 2014

Chapter 4 Overview

Hi,

Today I will be talking about chapter 4. This chapter was very long, consisting of 10 lessons of trigonometry. However, it was very interesting, relating the sides of triangles to the unit circle, which accounts for special triangles and angles. The things to remember are (cos,sin) = (x,y), and cosine is equivalent to adjacent side over hypotenuse, whereas sine is opposite over hypotenuse and tangent is opposite over adjacent. This information allows us to find the points along the unit circle, finding the coordinates along the circumference using 45-45-90 and 30-60-90 right triangles sine and cosine values. Additionally, we learned that trigonometry has many identities, which are tools used to interpret and manipulate trigonometric equations for solving. We can prove the existence of these identities using verifying. Lastly, inverses are for solving for arcsin1/2 and we are solving for x. We solve by taking the sin^-1 of 1/2 and that is x.

Thanks,
Kaili Chiu


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