sinxcos(π/7)-sin(π/7)cosx=-√2/2, then x can equal: _____. Check all that apply.
A. 7π/4+π/7+2nπ
B. 5π/4+π/7+2nπ
C. P/4+π/7+2nπ
D. 3π/4+π/7+2nπ

Question

sinxcos(π/7)-sin(π/7)cosx=-√2/2, then x can equal: _____. Check all that apply.
  		A. 	7π/4+π/7+2nπ
  		B. 	5π/4+π/7+2nπ
  		C. 	P/4+π/7+2nπ
  		D. 	3π/4+π/7+2nπ

stacey · Answer

sinx cos(π/7) - sin(π/7) cosx = sin (x - π/7)
To get -√2/2, the angle must be 5π/4 + 2nπ or 7π/4 + 2nπ, 
so 
x - π/7 = 5π/4 + 2nπ   or   x - π/7 = 7π/4 + 2nπ

stacey · Answer

To solve for x, we must add π/7 to both sides in both of the equations above.