# What is Pre calculus: Definition + 30 Threads

In mathematics education, precalculus or college algebra is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.

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1. ### Proving a sum of three squared terms, cyclic in #a,b,c#, is equal to 1

Problem statement : I copy and paste the statement of the problem from the text. (Given ##\boldsymbol{a+b+c=0}##) Attempt : I am afraid I couldn't make any meaningful progress. With ##a = -(b+c)##, I substituted for ##a## in the whole of the L.H.S, both numerators and denominators. I multiplied...
2. ### The given function is an even or an odd function?

I think the answer is an even function as the function ##x^2## is an even function and thus, is symmetrical w.r.t. Y axis. The question I have is how to do this problem algebraically. I tried to graph some functions on GeoGebra to verify my answer. a) ##y = ln(x^2)## b) ##y = sin(x^2)##...
3. ### How Should Compass Bearings Be Notated in Navigation Problems?

150 km tan(35)=150/x Hyp=316.58 I know this isn't right where did I go wrong or did I even start correctly

20. ### Sin^4Ө =3/8-3/8cos(2Ө) Prove the following trigonometric identity

Homework Statement Prove the following trigonometric identity. The question is sin^4Ө =3/8-3/8cos(2Ө) Homework Equations I think I'm supposed to use the power reducing formulas for trigonometric identities which are sin^2(u)= (1- cos(2u))/2 cos^2(u)=(1+cos(2u))/2 *Let u represent any...
21. ### Implicit Differentiation: two different answers

Homework Statement with answers given: Homework Equations use implicit differentiation The Attempt at a Solution I always get this answer but not the second one PLs explain the second answer for I am very desperate. Thank You
22. ### Pre Calculus problem in need of help

Homework Statement Solve for X in terms of Natural Logs; Both my friend and I (top scores in the class) are struggling with this problem. Homework Equations e^ax=c*2^bx The Attempt at a Solution We both decided to divide both sides by 2^bx which gave us e^ax / 2^bx = C Then...
23. ### Learning integrals and derivitaves in pre calculus.

Hello I am in pre-calculus which is the next math class after algebra 2 and there are many scientific equations that require a knowledge of calculus to solve. For example I do science olympiad maglev and many of the equations to solve for magnetic flux or magnetic fields etc.. use derivatives...
24. ### Changing Perspectives in Math Class: From Memorization to Understanding

So my semester started yesterday, and my first class on: Monday, Tuesday, Thursday, and Friday is pre calculus. I walked in, sat down, and it began. My professor is the head of the math department at the college, and within 5 minutes of the intro lecture, it's clear that he really loves math...
25. ### Pre Calculus online with 2nd semester Algebra 2

Hi, I am wondering if it would be better to do Pre-Calculus online with the 2nd semester Algebra 2. Or take college algebra online with 2nd semester Algebra 2. If I go the Pre-Calculus online with 2nd semester Algebra 2, my senior year I will be taking Calculus AB 1st semester and Calculus BC...
26. ### Online resources to study pre calculus.

Tomorrow I'm taking a certification exam to become a college math tutor and I have to take a proficiency test in pre calculus. A lot of the stuff I don't remember because I haven't used it in a while. Anyone got some good online resources. I studied before but I just realized yesterday after not...
27. ### I really with this Pre Calculus problem =[

sketch and graph 1. y= [x][/3] +2 2. y= squareroot x-3 3. y= Ix-2I 4. y= [y][/2] - 1
28. ### Why Is Pre-Calculus Challenging for Some Students?

hello! I am a studen from sweden and i having some troble solves this kind of problems. i have tried but the book its really bad to expleain. and i really have to know this for the comming exan, so if anyone could help me i really be so happy :) here are some stuff i have hard time solving...
29. ### How Do You Solve a Pre Calculus Problem with Congruent Sides and Diagonals?

[SOLVED] Pre Calculus Homework Problem...Help! [b]1. Homework Statement A quadrilateral has two pairs of congruent sides and a longer diagonal of length of 6, as shown. For what value of x will the area of the shaded region be 40% of the area of the unshaded region? [b]2. Homework...
30. ### Pre-Calc Help: Range & Exponents, Bacterial Growth

Range of- (x)/((x^2)-9) please explain in detail also the properties of exponents to simplify the expression ((16x^-2)(y^4))^1/2 A bacterial culture starts with 20,000 bacteria, and the number doubles every 40 min. Find the number T of minutes required for the culture to have...