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Weekly Blog 25
Hello fellow bloggers!
As you may know, it is approaching the end of the school year. To be exact, we only have 11 days left of school! I am very excited, but with this comes our final exams. We are all very busy preparing and studying the material we have learned since January. To help us remember some of those things, Ms. Jovanovich has asked us to write a question and answer that we have previously studied.
The question I am going to ask relates to what I talked about last week: the functions of sin, cosine, and tangent. Try it out!
Q: Explain why tan60 degrees will always equal root 3.
A: In the function tangent, T= opposite/adjacent. The opposite side is opposite the 60 degree angle, meaning it is the long side. The adjacent side is the shorter side because it is opposite the 30 degree angle. If you look back a couple blogs, you will recall that I talked about right triangle rules. One states that the long side of a 30, 60, 90, right triangle will always equal root 3 * short side. Because one side is the long and one is the short, the formula would look as follows:
tan(60)= (root 3 * short side)/ short side. This is derived from the formula: tan(60)= opposite/adjacent.
The opposite side is the long side (root 3 * short side) and the adjacent side is the short side. When you cross cancel short side, you are left with root 3. So, tan(60) will always equal root 3.
Blog back with questions!
Article posted June 10, 2012 at 08:58 AM •
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