Trigonometry - Midterm Exam Review

In this video I work through all 20 questions on the Practice Final Exam.

0:09 - Question #1 - Converting degrees to radians
0:57 - Question #2 - Converting radians to degrees
1:44 - Question #3 - Find the arc length of the sector of a circle
3:35 - Question #4 - Find tangent given a point on the unit circle
4:29 - Question #5 - Use the unit circle to find the exact value of a trigonometric expression
6:52 - Question #6 - Use a calculator to approximate a trigonometric expression
7:33 - Question #7 - Find the exact value of sine and cosine given an ordered pair
9:50 - Question #8 - Determine the quadrant in which an angle lies
11:05 - Question #9 - Find the exact values of sine and cosine given tangent and the quadrant in which the angle lies
13:04 - Question #10 - Find the amplitude, period, and phase shift of a sinusoidal function
14:29 - Question #11 - Graph a sinusoidal function and determine the domain and range
17:47 - Question #12 - Find the amplitude, period, and phase shift of a sinusoidal function. Graph 2 periods of the function and determine the domain and range
23:09 - Question #13 - Find the period of a tangent or cotangent function, then graph 2 periods
27:21 - Question #14 - Find the period of a secant or cosecant function, then graph 2 periods
33:31 - Question #15 - Find the exact value of an inverse trigonometric function using the unit circle
36:08 - Question #16 - Find the exact value of the composition of trigonometric functions and their inverses
41:09 - Question #17 - Find the exact value of the composition of trigonometric functions
43:07 - Question #18 - Solve a trigonometric equation on the interval [ 0, 2Pi )
* the second inequality in the restriction should be strictly less than.
44:45 - Question #19 - Give the general solutions of a trigonometric equation, then find the first 'n' positive solutions
51:04 - Question #20 - Solve a trigonometric equation on the interval [ 0, 2Pi ) using a calculator.
* the second inequality in the restriction should be strictly less than.

[joshnkegbe]

You're the best Math Professor ever at doing these helpful videos😊!

[Scorpv]

I have a precalculus II test tomorrow, a few hours ago I was dying of stress, because I did not know anything about this class. For the last few hours I have been watching the videos you recorded 2 years ago, for sections 6.1-6.6 about trigonometric functions. Right now I am on a break, I will be going back to watching your videos and keep studying. I feel confident and I know that I will destroy that test. Even though I am not a student of you, or your school, I just wanted to thank you for all these videos you have been uploading. God bless you sir.