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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