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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. …

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\[\sin(x)+\cos(x)\leq\frac{1}{\sin(x)}\iff \frac{1}{\sin(x)}-\sin(x)-\cos(x)\geq 0 \iff \frac{1-\sin^2(x)-\sin(x)\cos(x)}{\sin(x)}\geq 0\] \[\iff \frac{\cos^2(x)-\sin(x)\cos(x)}{\sin(x)}\geq 0\iff\cot(x)(\cos(x)-\sin(x))\geq 0.\]

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 – …

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 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 …

The quadratic case 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 …