cos(75 degrees)cos(15 degrees)

Answer:
1/4
Step-by-step explanation:
The product to sum identity is useful here:
cos(α)cos(β) = (1/2)(cos(α+β) +cos(α-β))
cos(75°)cos(15°) = (1/2)(cos(90°) +cos(60°))
= (1/2)(0 + 1/2)
= 1/4
This product of cosines is 1/4.