Verified answer

Ответ:

sin23°cos53° - cos23°sin53°=sin23°sin37°-cos23cos37°=sin(23+37)-cos(23+37)=sin60°-cos60°

sin60°=

[tex] \frac{ \sqrt{3} }{2} [/tex]

cos 60°=

[tex] \frac{1}{2} [/tex]

итог:

[tex] \frac{ \sqrt{3} }{2} - \frac{1}{2} = \frac{ \sqrt{3} - 1}{2} [/tex]