Question 6
You are given a trigonometric equation $\cos x=\sin x+1$ where x is an angle of triangle and $\sin x<0$. Compute $\frac{\sin^2x+\sin x-2}{\sin x-1}\times\frac{\sin^3x+16\sin^2x-5\sin x+5}{7\sin^2x+2\sin x}$. Hint: Use $\sin^2x+\cos^2x=1$ to obtain $\sin x$; you are not required to find x but need $\sin x<0$.
