Which expression completes the identity sin ucosv = ?
sinu cosv = [sin(u+v)+sin(u-v)]/2
which expression completes the identity sin ucosv=?
To complete the identity sin ucos v = ?, we need to recall a trigonometric identity called the sine of a sum formula.
The sine of a sum formula states that sin(A + B) = sinAcosB + cosAsinB.
Using this identity, we can rewrite the expression sin ucos v as sin ucos v = sin ucos 0 + cos u sin v
Now, since cos 0 = 1 and sin 0 = 0, we can simplify the expression to be:
sin ucos v = sin u(1) + cos u sin v
Finally, we can rewrite the expression as:
sin ucos v = sin u + cos u sin v
So, the expression that completes the identity sin ucos v = sin u + cos u sin v.