Question 862520
How would I use a half-angle identity to find the exact value of sin 75 degrees?
{{{sin(75)=sin(150/2)=sqrt((1cos(150))/2)=sqrt((1+sqrt(3)/2)/2)=sqrt((2+sqrt(3))/4)=sqrt(2+sqrt(3))/2}}}
calculator check:
sin75≈0.9659…
Exact value={{{sqrt(2+sqrt(3))/2}}}≈0.9659…