Sin18°sin54° вычислите

Question

Sin18°sin54° вычислите

Answer 1

Решение:
sin54*sin18=(2cos18*sin18*sin(90-36))/(2cos18)=(sin36*cos36)/(2cos18)=sin72/(4cos18)=sin(90-18)/(4cos18)=cos18/(4cos18)=1/4