Question

Найдите значение (подробно!!!)
sin 15° =​

Answer 1

$sin 15^circ=sin(45^circ-30^circ)=sin45^circcos30^circ-cos45^circsin30^circ=\=dfrac{sqrt{2} }{2} cdotdfrac{sqrt{3} }{2}-dfrac{sqrt{2} }{2}cdotdfrac{1 }{2}=dfrac{sqrt{6} }{4}-dfrac{sqrt{2} }{4}=dfrac{sqrt{6}-sqrt{2}}{4}$