Помогите пожалуйста решить[tex] \tan {}^{2} ( \beta ) \times \cot {}^{2} ( \beta ) - \sin {}^{2} ( \beta ) [/tex]. Created by ucolodenkohfbdgfddgj. algebra-ru

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Помогите пожалуйста решить
[tex] \tan {}^{2} ( \beta ) \times \cot {}^{2} ( \beta ) - \sin {}^{2} ( \beta ) [/tex]

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sangers1959

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Объяснение:

$tan^2(\beta )*cot^2(\beta )-sin^2(\beta )=(tg(\beta )*cot(\beta ))^2-sin^2(\beta )=\\=(\frac{sin(\beta )}{cos(\beta )}*\frac{cos(\beta )}{sin(\beta )})^2-sin^2(\beta )=1^2-sin^2(\beta )=1-sin^2(\beta )=cos^2(\beta ).$

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