Write the expression as the sine, cosine, or tangent of an angle. sin 8x cos x - cos 8x sin x

sin(7x)

Step-by-step explanation:

 sin 8x cos x - cos 8x sin x

We use identity

sin(a-b) = sin(a)cos(b) - cos(a)sin(b)

We have 8x in the place of 'a'  and x in the place of 'b'

sin(8x-x) = sin 8x cos x - cos 8x sin x

So sin(a-b) becomes sin(8x-x)

sin(8x-x) = sin(7x)

So sin 8x cos x - cos 8x sin x= sin(7x)

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above