GPT Tutor Precalculus
Feel free to ask the Chatbot for help with questions or hints. However, we recommend not asking for the quiz solutions — the goal is to help you learn, not …
Course: Precalculus: the Mathematics of Numbers, Functions and Equations
Glossary
We are planning to prepare a Glossary that contains a list of the key terms that are used in the course. Many of them are defined in the next steps. …
prova
$\displaylines{\sin(x)+\cos(x)\leq\frac{1}{\sin(x)}\iff \frac{1}{\sin(x)}-\sin(x)-\cos(x)\geq 0 \\ \iff \frac{1-\sin^2(x)-\sin(x)\cos(x)}{\sin(x)}\geq 0 \\ \iff \frac{\cos^2(x)-\sin(x)\cos(x)}{\sin(x)}\geq 0\iff\cot(x)(\cos(x)-\sin(x))\geq 0.}$
Final summary step
Congratulations! You have reached the end of the course. You should have become acquainted with: Numbers, Functions, Equations and Inequalities. Alberto is telling us that you now love Algebra – …
Systems of linear inequalities in practice
The following exercises are solved in this step. We invite you to try to solve them before watching the video. In any case, you will find below a PDF file …
Lines in the plane in practice
The following exercises are solved in this step. We invite you to try to solve them before watching the video. In any case, you will find below a PDF file …
Inequalities with absolute values in practice
The following exercises are solved in this step. We invite you to try to solve them before watching the video. In any case, you will find below a PDF file …
Inequalities with radicals in practice
The following exercises are solved in this step. We invite you to try to solve them before watching the video. In any case, you will find below a PDF file …
Polynomial inequalities in practice
The following exercises are solved in this step. We invite you to try to solve them before watching the video. In any case, you will find below a PDF file …
These articles are from the online course:
Precalculus: the Mathematics of Numbers, Functions and Equations