11. Given that $$ \sin \alpha=-\frac{2}{3} $$ and $$ \alpha \in\left[\frac{\pi}{2} ; \frac{3 \pi}{2} ight] $$; calculate $$ \cos \alpha $$ and $$ an \alpha $$. 2. Given that $$ \cos \alpha=\frac{\sqrt{2}}{4} $$ and $$ \alpha \in[-\pi ; 0] $$; calculate $$ \sin \alpha $$ and $$ an \alpha $$.

Question

11. Given that $$ \sin \alpha=-\frac{2}{3} $$ and $$ \alpha \in\left[\frac{\pi}{2} ; \frac{3 \pi}{2}ight] $$; calculate $$ \cos \alpha $$ and $$ 	an \alpha $$. 2. Given that $$ \cos \alpha=\frac{\sqrt{2}}{4} $$ and $$ \alpha \in[-\pi ; 0] $$; calculate $$ \sin \alpha $$ and $$ 	an \alpha $$.

Jimenez Powell · Accepted Answer

Problem 1: $$ \cos \alpha = -\frac{\sqrt{5}}{3} $$, $$ 	an \alpha = \frac{2\sqrt{5}}{5} $$ Problem 2: $$ \sin \alpha = -\frac{\sqrt{14}}{4} $$, $$ 	an \alpha = -\sqrt{7} $$

11. Given that \( \sin \alpha=-\frac{2}{3} \) and \( \alpha \in\left[\frac{\pi}{2} ; \frac{3 \pi}{2}\right] \); calculate \( \cos \alpha \) and \( \tan \alpha \). 2. Given that \( \cos \alpha=\frac{\sqrt{2}}{4} \) and \( \alpha \in[-\pi ; 0] \); calculate \( \sin \alpha \) and \( \tan \alpha \).

Solución ThothAI de Upstudy

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Solución paso a paso

11. Given that \( \sin \alpha=-\frac{2}{3} \) and \( \alpha \in\left[\frac{\pi}{2} ; \frac{3 \pi}{2}\right] \); calculate \( \cos \alpha \) and \( \tan \alpha \). 2. Given that \( \cos \alpha=\frac{\sqrt{2}}{4} \) and \( \alpha \in[-\pi ; 0] \); calculate \( \sin \alpha \) and \( \tan \alpha \).

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

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