Question

Find the exact value of sin 15 degrees

Answer 1

Hi,

Explanation:

sin(a-b)=sin(a) cos(b)+ cos(a) sin(b)

a=45° and b=30°

`sin(45^o-30^o)=sin(45^o)*cos(30^o)+cos(45^o)*sin(30^o)\\\\=(√(2))/(2)* (√(3))/(2)+(√(2))/(2)*(1)/(2)\\\\\\\boxed{sin(15^o)=(√(2))/(4)*(1+√(3) )}\\`