Find the exact value of sin75(degrees) using a sum or difference identity

sin75-degrees

#1

Find the exact value of sin75 (degrees) using a sum or difference identity

Answer:

by using the trigonometric functions identity
sin(x+y)=sin(x)cos(y)+sin(y)cos(x)
sin(75)=sin(30+45)=sin(30)cos(45)+sin(45)cos(30)
sin(75)=(1/2)(1/(root(2)))+((root(3))/2)(1/(root(2)))