Question

How do you express `sin(pi/12) * cos(pi/12 )` without products of trigonometric functions?

Answer 1

`1/4`

Explanation:

Use the trig identity: sin 2a = 2sin a.cos a
Trig table of special arcs -->
`sin (pi/12).cos (pi/12) = (1/2)sin (pi/6) = (1/2)(1/2) = 1/4`