Знайти tg a, якщо cos a = -0,28...

August 2022 1 1 Report

Знайти tg a, якщо cos a = -0,28

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Mihail001192

Verified answer

${(sina)}^{2} + {(cos)}^{2} = 1 \\ \\ \frac{ {(sina)}^{2} }{ {(cosa)}^{2} } + \frac{ {(cosa)}^{2} }{ {(cosa)}^{2} } = \frac{1}{ {(cosa)}^{2} } \\ \\ {(tga)}^{2} + 1 = \frac{1}{ {(cosa)}^{2} } \\ \\ {(tga)}^{2} = \frac{1}{ {(cosa)}^{2} } - 1 = \frac{1}{ {( - 0.28)}^{2} } - 1 = \\ = \frac{1}{0.0784} - 1 = \frac{625}{49} - 1 = \frac{576}{49} \\ \\ 1) \: \: tga = - \sqrt{ \frac{576}{49} } = - \frac{24}{7} \\ \\ 2) \: \: tga = + \sqrt{ \frac{576}{49} } = \frac{24}{7} \\$

ОТВЕТ: - 24/7 ; 24/7

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