Unit 1:
Angles:its a shape formed by two lines or rays that are connected to one in another. There are 3 different type of angles. The first type of angles is acute, obtuse, and right angle. An acute is measure less than 90 degrees. An obtuse angle is measure more than 90. A right angle is measure exactly 90.
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How to measure in both degrees and radians?
You measure radians by multiplying the degrees by pi radians/180 degrees. the way you measure degrees is simple. If you use a protractor if its 80 degrees it 80 degrees.
Conversions between radians and degrees: if want to convert from radians to degrees, you multiply radians by 180/ pi radians If you want to convert from degrees to radians, you multiply by pi radians/180degrees. |
SineSine is the opposite/hypotenuse. The sine is known as the y in a coordinate pair. A sine starts from "el corazon" which is the origin at 0. Its amplitude is 1. The maximum value is 1 and minimum value is -1.
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CosineCosine is the adjacent/hypotenuse. the cosine is the x value when you are trying to locate it in the unit circle. A cosine wave starts at 1 and goes down to -1. The amplitude of a cosine wave is 1. The maximum and minimum value is the same as sine.
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Example #1Find the radian measure of 60o
Solution: Now since we want to convert degrees to radians, we have to multiply by pi /180. Therefore, we get: 60o = 60(/180) rad = pi/3 rad |
Example #2Find the radian measure of 225o
Solution: Again we have to multiply by /180 since we are changing degrees to radians. 225^o = 225(pi /180) = 5pi/4 rad |
Example #3Express pi/6 rad in degrees.
Solution: In this case since we are changing radians to degrees, we must multiply by 180/. Hence we get:pi/6 rad = (pi/6)(180/pi) = 30^o |
Example #4Change the measure 2/3 into degrees.
Solution: Here we do the same as above, multiply the measure by 180/pi to get: 2pi/3 rad = (2pi/3)(180/pi) = 120^o. |
Unit 2: PowerPoint Key Points:This PowerPoint is composed of all the things that we have learned all during Unit 2. In this power point I talk about how to graph a sine and cosine. The things would be included are things like the domain and range. Another thing that i would be talking about in this PowerPoint is the properties of a graph such as the amplitude, frequency, period, and the phase shift. I will also be talking about how to find the degree of a given angle using the unit circle. I would be talking about the inverse of sine, cosine and tangent. The last thing i will be talking about in this PowerPoint is how to solve an application problem step by step.
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Unit 3: VideoIn this video will be talking about everything we learned in Unit 3. My group talks about all trigonometric identities. Pythagorean, quotient, and reciprocal identities. Will also be talking about the sum and differences formulas. Another thing that we are going to talk about in our video is the law of sines and cosines. Each law has different formulas and will be getting to it and explain everything. For every subject we talk about we are going to give examples to to help you guys out and get a better understanding of this concept. I hope you guys enjoy our video and learn something out of it.
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