Precalculus Archive: Questions from December 08, 2022
-
Oeter mine whether the series converges of diverges (1) \( \sum\left(1-\frac{1}{k}\right)^{k} \) (2) \( \sum \frac{1}{\sqrt[3]{k^{2}}} \)2 answers -
2 answers
-
verify the identity
Verify the identity. \[ \frac{\sin (\alpha+\beta)}{\sin (\alpha-\beta)}=\frac{\tan \alpha+\tan \beta}{\tan \alpha-\tan \beta} \]2 answers -
Verify the identity. \[ \frac{\cos (\alpha-\beta)}{-\cos (\alpha+\beta)}=\frac{\tan \alpha \tan \beta+1}{\tan \alpha \tan \beta-1} \]2 answers -
Prove the following identity: \[ \frac{\sin (x+y)}{\cos (x-y)}=\frac{\cot x+\cot y}{1+\cot x \cot y} \]1 answer -
El ángulo central de un circulo con radio \( 150 \mathrm{~cm} \) intercepta un arco de \( 200 \mathrm{~cm} \). Encuentra la medida de: a. la medida en radianes del ángulo b. el ârea del sector que2 answers -
2 answers