How do you express sin(π4)sin(5π3) without using products of trigonometric functions?

1 Answer
Jul 1, 2018

sin(π3)sin(π6)2

Explanation:

![https://lo.wikipedia.org/wiki/%E0%BB%84%E0%BA%95%E0%BA%A1%E0%BA%B8%E0%BA%A1](useruploads.socratic.orguseruploads.socratic.org)

sinAcosb=(12)(sin(A+B)+sin(AB)),Identity

sin(π4)sin(5π3)

(12)(sin(π4+5π3)+sin(π45π3))

(12)(sin(8π12)+sin(π6))

sin(2π3)sin(π6)2

sin(π3)sin(π6)2