The polynomial $$\(\mathrm{p}(x)\)$$ is defined by $$\( \mathrm{p}(x)=6 x^{3}+a x^{2}-4 x-3 \)$$ where $$\(a\)$$ is a constant. It is given that $$\((x+3)\)$$ is a factor of $$\(\mathrm{p}(x)\)$$. Hence solve the equation $$\(\mathrm{p}(\operatorname{cosec} \theta)=0\)$$ for $$\(0^{\circ}<\theta<360^{\circ}\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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