Question

Памагите ришыть пажалуста плииз

Answer 1

Основное тригонометрическое тождество :

sin²(α) + cos²(α) = 1.

$sin^{2}(\alpha) + cos^{2}(\alpha) = 1 \\\\ sin^{2}(\alpha) = 1 - cos^{2}(\alpha) \\\\ sin(\alpha) = \sqrt{1 - cos^{2}(\alpha)} \\\\ sin(\alpha) = \sqrt{1 - ( \frac{1}{6})^{2} } \\\\ sin(\alpha) = \sqrt{1 - \frac{1}{36} } \\\\ sin(\alpha) = \sqrt{ \frac{35}{36} } \\\\ sin(\alpha) = \frac{ \sqrt{35} }{ \sqrt{36} } \\\\ \boxed{sin(\alpha) = \frac{ \sqrt{35} }{6} }.$