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tgα=-0,69. tg
sinα=?, cosα=?
![1+ tg^{2} alpha = frac{1}{cos ^{2} alpha } 1+ tg^{2} alpha = frac{1}{cos ^{2} alpha }](https://tex.z-dn.net/?f=1%2B+tg%5E%7B2%7D++alpha+%3D+frac%7B1%7D%7Bcos+%5E%7B2%7D++alpha+%7D+)
![cos^{2} alpha = frac{1}{1+ tg^{2} alpha } cos^{2} alpha = frac{1}{1+ tg^{2} alpha }](https://tex.z-dn.net/?f=+cos%5E%7B2%7D+alpha+%3D+frac%7B1%7D%7B1%2B+tg%5E%7B2%7D+alpha++%7D++)
![cos^{2} alpha = frac{1}{1+(-0,6)^{2} } cos^{2} alpha = frac{1}{1+(-0,6)^{2} }](https://tex.z-dn.net/?f=+cos%5E%7B2%7D++alpha+%3D+frac%7B1%7D%7B1%2B%28-0%2C6%29%5E%7B2%7D+%7D+)
![cos^{2} alpha = frac{1}{1,36} cos^{2} alpha = frac{1}{1,36}](https://tex.z-dn.net/?f=+cos%5E%7B2%7D+alpha+%3D+frac%7B1%7D%7B1%2C36%7D++)
![cos alpha =- sqrt{ frac{1}{1,36} } cos alpha =- sqrt{ frac{1}{1,36} }](https://tex.z-dn.net/?f=cos+alpha+%3D-+sqrt%7B+frac%7B1%7D%7B1%2C36%7D+%7D+)
основное тригонометрическое тождество: sin²α+cos²α=1,⇒
sin²α=1-cos²α
![sin^{2} alpha =1- frac{1}{1,36} = frac{0,36}{1,36} sin^{2} alpha =1- frac{1}{1,36} = frac{0,36}{1,36}](https://tex.z-dn.net/?f=+sin%5E%7B2%7D++alpha+%3D1-+frac%7B1%7D%7B1%2C36%7D+%3D+frac%7B0%2C36%7D%7B1%2C36%7D+)
![sin alpha = frac{0,6}{ sqrt{1,36} } sin alpha = frac{0,6}{ sqrt{1,36} }](https://tex.z-dn.net/?f=sin+alpha+%3D+frac%7B0%2C6%7D%7B+sqrt%7B1%2C36%7D+%7D+)
ответ:
![sin alpha = frac{0,6}{ sqrt{1,36} } , cos alpha = frac{1}{ sqrt{1,36} } sin alpha = frac{0,6}{ sqrt{1,36} } , cos alpha = frac{1}{ sqrt{1,36} }](https://tex.z-dn.net/?f=sin+alpha+%3D+frac%7B0%2C6%7D%7B+sqrt%7B1%2C36%7D+%7D+%2C++++cos+alpha+%3D+frac%7B1%7D%7B+sqrt%7B1%2C36%7D+%7D+)
sinα=?, cosα=?
основное тригонометрическое тождество: sin²α+cos²α=1,⇒
sin²α=1-cos²α
ответ:
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