Answer:
(2sin(a) -√3)×(2sin(a) +√3)
Step-by-step explanation:
One of the terms of the difference is a perfect square. So, we can use the form for factoring the difference of squares:
p² -q² = (p -q)(p +q)
Here, we can make the assignments ...
p = 2sin(a)
q = √3
Then we have ...
4sin²(a) -3 = (2sin(a))² -(√3)² = (2sin(a) -√3)(2sin(a) +√3)
