Use an appropriate formula to write 5*sin 15 degrees * cos 25 degrees- 5*cos 15 degrees * sin 25 degrees as k sin theta or k cos theta, with suitable cvalues for k and theta. Theta must be positive, k can be positive or negative. Do not evaluate.

What...

Question

Use an appropriate formula to write 5*sin 15 degrees * cos 25 degrees- 5*cos 15 degrees * sin 25 degrees as k sin theta or k cos theta, with suitable cvalues for k and theta. Theta must be positive, k can be positive or negative. Do not evaluate. 

What...

anonymous · Answer

Use the formula
$$
\sin(a-b)= \sin(a) \cos(b) - \cos(a) \sin(b)
$$

anonymous · Answer

So sin(15degrees-25degrees)? but what about the 5 before the first sin and second cosine?

anonymous · Answer

$$
\sin( 15-25) = \sin(15) \cos(25) - \cos(15) \sin(25)\
5\sin( -10) =5 \sin(15) \cos(25) - 5\cos(15) \sin(25)\
-5\sin(10) =5 \sin(15) \cos(25) - 5\cos(15) \sin(25)\
k=-5\
\theta=10
$$

anonymous · Answer

Multiply the two sides by 5