Pre Calculus Story Board Project

Pre Calculus Story Board Project
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  • Angles and Radian Measure
  • Hey do you know how to convert radians to degrees?
  • When converting radians you multiply 180 divided by pi. It's the opposite when converting radians. 
  • Yeah, if you start with degrees you multiply by pi divided by 180. Do you know how to convert radians?
  • Okay, thank you for telling me.
  • Sure figure out the measure of all the sides of the triangle. Once you find those measures you have to find an angle. Once that angle has been found 
  • Solving Triangles
  • Hey, I need to find the area of this triangle. Do you know how to?
  • Extending Angle Measure
  • Do you know what a coterminal angle is? I have no idea what it is.
  • Yeah, a coterminal angle is angles formed by different rotations that have the same initial and terminal sides
  • Here are two examples of converting radians and degrees: Radians to degrees: 4pi / 3 * 180 / pi. The pi's would cancel out and you multiply 4 * 180 then divide it by 3. Getting an answer of 240 Degrees. Degrees to radians: 240 degrees * pi / 180. Multiply 240 by pi. Then you would simplify the fraction to it's simplest form. 
  • Extending the Trigonometric Ratios
  • Hey I need some help finding the hypotenuse length on my triangle. What method do you recommend?
  • Example: (1/2)(6.2)(5.03)(Sin 27) The area of the triangle would be 7.079
  • Inverse Trig Functions
  • What do you have to do when you're dealing with trig functions?
  • Example: You can find three angles with an angle of 60 degrees in standard position. 
  • Linear and Angular Speed
  • How do you find linear speed?
  • Example: X= -3 , Y= -2 , R= ? (-3 squared) + (-2 squared) = R squared (the square root) 9+4 R= squared root of 13
  • Try Pythagorean Theorem. The equation would be X squared + Y squared = R squared
  • The domain would be: [ -1,1] and the range would be: [ - pi / 2, pi / 2]
  • You have to restrict the domain of each, so that it is a one-to-one function
  • Example: Central angle = 2pi merry go makes 8 revolutions per minute 8 x 2pi = 16pi radians in one minute
  • It is the arc length divided by time
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