Question

Find sin(u-v) given sin(u) and sin(v).

a) sin(u) cos(v) - cos(u) sin(v)
b) sin(u) sin(v) - cos(u) cos(v)
c) cos(u) sin(v) - sin(u) cos(v)
d) cos(u) cos(v) - sin(u) sin(v)

Answer 1

The correct answer is option c) cos(u) sin(v) - sin(u) cos(v).

Step-by-step explanation:

The correct answer is option c) cos(u) sin(v) - sin(u) cos(v).

To find sin(u-v) using the given values of sin(u) and sin(v), we can use the trigonometric identity:

sin(u-v) = sin(u) cos(v) - cos(u) sin(v)

Plugging in the given values, we have:

sin(u-v) = sin(u) * sin(v) - cos(u) * cos(v)

Therefore, the correct answer is c) cos(u) sin(v) - sin(u) cos(v).