Question

sin²150°+cos²120°-tg²150°

Answer 1

Ответ:

$\bold { \frac{1}{6} }$

Объяснение:

sin²150° + cos²120° - tg²150° = $\bold { \frac{1}{6} }$

sin150° = $\frac{1}{2}$

cos120° = $-\frac{1}{2}$

tg150° = $-\frac{\sqrt{3} }{3}$

$(\frac{1}{2} )^{2} + (-\frac{1}{2} )^{2} - (-\frac{\sqrt{3} }{3} )^{2} = \frac{1}{4} + \frac{1}{4} - \frac{3}{9} = \frac{9 + 9 - 12}{36} = \frac{6}{36} = \bold { \frac{1}{6} }$