Wednesday, March 26, 2014

I/D#3: Unit Q: Pythagoreom Identities

Inquiry Activity Summary: 
1.Sin2x+cos2x=1 comes from the identity, Pythagorean theorem, which is a  factor or formula that is proven.The Pythagorean theorem, a^2+b^2=c^2 is replaced x^2+y^2=r^2 because of the fact that  they hold the same values.

2. To derive the two remaining Pythagorean Identities from sin2x+cos2x=1 you must first, divide everything by r^2 and after doing that we get x^2/r^2+y^2/r^2=1. You can then notice that they x/ r is cosine and y/ r is sine meaning that you can put sin2x+cos2x=1 in place.

Inquiry Activity Reflection:

1. The connections that I see between Unit N,O,P, and Q so far are all related to the unit circle. In order to solve and understand most of them, you must fully understand and keep in  mind the unit circle. Having memorized the unit circle is key. 

2. If i had to describe trigonometry in THREE words, they would be difficult, challenging, and memorization. Trigonometry really requires a lot of practice and memorization of the unit circle. You can not solve the problems if you do not know the unit circle, formulas,  sin, cos, tan, and so much more. 

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