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
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