Question

18sin174 * cos174 ------------------------- =         SIN 348

Answer 1

18sin174 * cos174 = 9 sin2*174 = 9sin348

 

        9sin348

------------------------- =  9
       SIN 348

Answer 2

We can use the identity sin(180° - x) = sin(x) to simplify this expression:
18sin(174°) * cos(174°) / sin(348°)
= 18sin(174°) * cos(174°) / sin(180° - 348°)
= 18sin(174°) * cos(174°) / sin(12°)
Now, we can use the identity sin(2x) = 2sin(x)cos(x) to simplify the numerator:
18sin(174°) * cos(174°) = 9sin(348°)
Substituting this back into the original expression, we get:
9sin(348°) / sin(12°)
= 9(sin(360° - 12°)) / sin(12°)
= 9sin(12°) / sin(12°)
= 9
Therefore, the expression simplifies to 9.