Тригонометрические тождества

\sin^2\alpha+\cos^2\alpha=1 \tg\alpha =\frac{\sin\alpha}{\cos\alpha}\ \ \ \ \ \ \ \ \ \ \ctg\alpha =\frac{\cos\alpha}{\sin\alpha} \tg\alpha \cdot \ctg\alpha = 1 |\cos \alpha |=\sqrt{1-\sin^2\alpha}\ \ \ \ \ \ \ \ \ \ |\sin \alpha |=\sqrt{1-\cos^2\alpha} \tg\alpha = \frac{1}{\ctg\alpha}\ \ \ \ \ \ \ \ \ \ \ \ctg\alpha = \frac{1}{\tg\alpha} 1+\tg^2\alpha =\frac{1}{\cos^2\alpha}=sec^2\alpha 1+\ctg^2\alpha =\frac{1}{\sin^2\alpha}=cosec^2\alpha

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