Question9. The diagram below shows the graphs of $y=6 \sin ^{2} x$ and $y=6 \sin x-1$ where $0 \leq x \leq$ a) Explain how you could use this diagram to estimate the solution to the equation $6 \sin ^{2} x-6 \sin x+1=0$, where $0 \leq x \leq 2 \pi$ intercepts b) Algebraically determine the solutions to the equation $6 \sin ^{2} x-6 \sin x+1=0$, where $0 \leq x \leq 2 \pi$. Give the solution correct to the nearest hundredth. c) Explain how you could use this diagram to estimate the solution to the equation $6 \sin ^{2} x(6 \sin x-1)=0$, where $0 \leq x \leq 2 \pi$. d) Use an algebraic approach to find the solutions to the equation $6 \sin ^{2} x(6 \sin x-1)$ where $0 \leq x \leq 2 \pi$. Give the solution correct to the nearest hundredth.