Answer:
2sin(52.5)sin(97.5) = [√(2) + √(3)] /2
=1.5731
Step-by-step explanation:
As we the trigonometric identity of the product of sines
sin(x)sin(y) =[cos(x-y) - cos(x+y)] /2
2sin(x)sin(y) =[cos(x-y) - cos(x+y)]
putting values of x and y
2sin(52.5)sin(97.5) =[cos(52.5-97.5) - cos(52.5+97.5)]
=cos(45)-cos(150)
= 1/√(2) - (-√(3) /2)
= √(2)/2 + √(3) /2)
= [√(2) + √(3)] /2
=1.5731
