Question

find the value of
$sin {15}^{0} cos {75}^{0}$

Answer 1

→Sin15°cos75°
→Sin(90°-15°) cos75°
→Cos75cos75°
→Cos²75°

Answer 2

hey here is your answer

sin15.cos75= sin15.cos(90-15)
= sin15.sin15
=(sin15)2
= ((root3-1)/2root2)2
=(3+1-2root3)/8
= (4-2root3)/8
= (2-root3)/4

I hope it will help you