sin(π/5)cos(3π/10) + cos(π/5)sin(3π/10)
Using the angle addition formula for sine, sin(a + b) = sin(a)cos(b) + cos(a)sin(b), we can simplify the expression:
sin(π/5)cos(3π/10) + cos(π/5)sin(3π/10)= sin(π/5 + 3π/10)= sin(π/2)= 1
Therefore, the value of the expression is 1.
sin(π/5)cos(3π/10) + cos(π/5)sin(3π/10)
Using the angle addition formula for sine, sin(a + b) = sin(a)cos(b) + cos(a)sin(b), we can simplify the expression:
sin(π/5)cos(3π/10) + cos(π/5)sin(3π/10)
= sin(π/5 + 3π/10)
= sin(π/2)
= 1
Therefore, the value of the expression is 1.