Упростить:
1. (1 -
) * (1 +
) *
![alpha alpha](https://tex.z-dn.net/?f=+alpha++)
2. (tg (90° -
) - ctg (90° +
)² - (ctg (180° +
) + ctg (270° +
))²
Ответы
Ответ дал:
0
1.
![{ sin( alpha ) }^{2} times (1 + {( frac{ sin( alpha ) }{ cos( alpha ) } )}^{2} ) times { frac{ cos( alpha ) }{ sin( alpha ) } }^{2} { sin( alpha ) }^{2} times (1 + {( frac{ sin( alpha ) }{ cos( alpha ) } )}^{2} ) times { frac{ cos( alpha ) }{ sin( alpha ) } }^{2}](https://tex.z-dn.net/?f=+%7B+sin%28+alpha+%29+%7D%5E%7B2%7D+times+%281+%2B+%7B%28+frac%7B+sin%28+alpha+%29+%7D%7B+cos%28+alpha+%29+%7D+%29%7D%5E%7B2%7D+%29+times+%7B+frac%7B+cos%28+alpha+%29+%7D%7B+sin%28+alpha+%29+%7D+%7D%5E%7B2%7D+)
![{sin( alpha )}^{2} times (1 + frac{ {sin( alpha )}^{2} } { { cos( alpha ) }^{2} }) times frac{ { cos( alpha ) }^{2} }{ { sin( alpha ) }^{2} } {sin( alpha )}^{2} times (1 + frac{ {sin( alpha )}^{2} } { { cos( alpha ) }^{2} }) times frac{ { cos( alpha ) }^{2} }{ { sin( alpha ) }^{2} }](https://tex.z-dn.net/?f=+%7Bsin%28+alpha+%29%7D%5E%7B2%7D+times+%281+%2B+frac%7B+%7Bsin%28+alpha+%29%7D%5E%7B2%7D+%7D+%7B+%7B+cos%28+alpha+%29+%7D%5E%7B2%7D+%7D%29+times+frac%7B+%7B+cos%28+alpha+%29+%7D%5E%7B2%7D+%7D%7B+%7B+sin%28+alpha+%29+%7D%5E%7B2%7D+%7D+)
sin²a сократим
![frac{{ cos( alpha ) }^{2} + { sin( alpha ) }^{2} }{ { cos( alpha ) }^{2} } times {cos( alpha )}^{2} frac{{ cos( alpha ) }^{2} + { sin( alpha ) }^{2} }{ { cos( alpha ) }^{2} } times {cos( alpha )}^{2}](https://tex.z-dn.net/?f=+frac%7B%7B+cos%28+alpha+%29+%7D%5E%7B2%7D+%2B+%7B+sin%28+alpha+%29+%7D%5E%7B2%7D+%7D%7B+%7B+cos%28+alpha+%29+%7D%5E%7B2%7D+%7D+times+%7Bcos%28+alpha+%29%7D%5E%7B2%7D+)
cos²a+sin²a=1
cos²a сократим
![1 1](https://tex.z-dn.net/?f=1)
2.
(tg a + ct²(90°+a)-tg a -ctg a)²=(-tg²a-1/tg a)²=(- tg³a+1/tg a)²=(tg³a+1)²/tg² a=tg^6 a+2tg³a+1/tg²a
sin²a сократим
cos²a+sin²a=1
cos²a сократим
2.
(tg a + ct²(90°+a)-tg a -ctg a)²=(-tg²a-1/tg a)²=(- tg³a+1/tg a)²=(tg³a+1)²/tg² a=tg^6 a+2tg³a+1/tg²a
Вас заинтересует
1 год назад
1 год назад
2 года назад
2 года назад
8 лет назад
8 лет назад
8 лет назад