PreCalculus Final Exam Review 2nd Quarter

Prepare for PreCalculus Second Quarter Final Exam with this video math tutorial by Mario's Math Tutoring. We discuss key problems and formulas in this review.

Jump to Section of this Video:

00:00 Intro
0:10 One to One Property of Exponents
0:34 Rewriting Logarithms in Exponential Form
1:11 Rewrite the Exponential in Logarithmic Form
1:51 Evaluate the Logarithm
2:20 Find the X-intercept of a Natural Log Function
3:33 One to One Property of Logs
4:11 Evaluate Logs
4:52 Condense Logarithms Using the Property of Logs
5:39 Expand Logarithms Using the Property of Logs
6:57 Identifying which Quadrant an angle in Radian is
7:42 Find One Positive and One Negative Coterminal Angle
8:54 Find the Complement and Supplement of an Angle in Radians
10:13 Rewrite the Angle in Radians to Degrees
10:47 Find Arc Length and Area of Sector
12:22 Find Angular Speed and Linear Speed
14:38 Find the (x,y) Coordinate on the Unit Circle given Angle
15:37 Find the value of Secant of Theta Given Triangle
16:23 Evaluate the csc(45 degrees)
16:59 Find Cosine ( 90 degrees - theta) Using CoFunctions
18:07 Find the angle where cosine(theta) = 1/2
18:44 Find X Using SOH CAH TOA
19:14 Find cosine(theta) Given Point on Terminal Side of angle
20:08 Find the Quadrant where the angle lies
21:16 Solve csc(Theta) = -2
22:17 Graph f(x) = sin((1/2)x + pi/2) + 1
24:18 Evaluate arccos(- square root 3 / 2)
25:13 Use an Inverse Function to write theta as a function of x
25:59 Evaluate the arctan(tan 3pi/4)
27:29 Write an algebraic expression equivalent to sin(tan inverse (2x))
28:46 Simplify the trigonometric expression
31:09 Evaluate Using Pythagorean Trig Identities
32:23 Solve (sin(theta))^2 + sin(x) = 0
33:55 Solve (cos(x))^2 - (sin(x))^2 = -1
35:10 Find Sin(105 degrees) Using Sum and Difference Formulas
36:45 Use Tangent Sum Formula to Rewrite the Trig Expression
37:38 Find the exact value of cos(u + v) Given sin u and cos v
39:47 Find the exact value of sec(2 theta) Given triangle
41:07 Solve sin (2x) = cos(x) in the interval [0,2pi)

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[MariosMathTutoring]

If you liked this review check out my PreCalculus 1st Quarter Video Review here:

[MayMay-btgc]

i learned more in these 40 minutes than I did the entire semester thank you ! also if y’all are struggling I promise it’s worth the 40 minutes

[lucabuca]

Mario, Mario, Mario, I couldn't be more grateful for your help! Your videos and teaching style are just so clear and effective! You go through SO much meaningful content in such short periods of time and I was still able to understand everything. Once again thank you and may god bless you and your family!

[georgesadler]

MR. Mario, thank for a solid analysis and explanation of Precalculus Final Exam Review 2nd Quarter. The problem set covers all levels of precalculus and parts of the calculus sequence.

[mr.aviation]

Passed the Aleks exam. Thanks for the refresher!

[JadeSmith]

Just wrote the aleks and got a 92. Thanks for the excellent material

[MusanGreen]

The best precal review! Thank you so much, sir.

[thenomad]

you're a legend for these videos.

[highvisibilityraincoat]

Thank you! Your videos and Khan Academy provided great review material for the ALEKS.

[Sizzleswag]

I’m not even in pre calculus and I now understand everything! Thank you kind man! I hope you get all the v bucks and robux in the afterlife!

[davnoble]

Your videos have been really helpful man I wish you could have been my tutor so I can get a better score in the sat

[JackDorrian]

and you got it lol thanks for videos great refresher know where to focus my studies now

[justin-en]

At 6:12 I think you forgot the exponent on x.

[miranx]

Which professions require knowing how to calculate these math problems?

[thebeachwalk]

Why for expanding log do you get rid of the fifth power on x

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[Sclerenchyma]

How is this 2nd quarter if there is no 3rd and fourth quarter? Other than that question, this video was flawless

[LordKolten]

The square root of 49 isn’t 7 to the second power...

[enderninja]

Who else’s teacher works at Dunkin’ Dounuts

[Sclerenchyma]

Thx Mario, Vivek wasn't very helpful