Question

Помогите решить sin7pi/12 - sin pi/12

Answer 1

$sin(\frac{7\pi}{12})-sin(\frac{\pi}{12} )=2cos(\frac{\frac{7\pi }{12}+\frac{\pi }{12} }{2} )sin(\frac{\frac{7\pi }{12}-\frac{\pi }{12} }{2} ) =2cos(\frac{\pi }{3} )sin(\frac{\pi }{4} )=2*\frac{1}{2} *\frac{\sqrt{2} }{2} =\frac{\sqrt{2} }{2}$