Express $$\(\sqrt{7} \sin x+2 \cos x\)$$ in the form $$\(R \sin (x+\alpha)\)$$, where $$\(R>0\)$$ and $$\(0^{\circ}<\alpha<90^{\circ}\)$$. State the exact value of $$\(R\)$$ and give $$\(\alpha\)$$ correct to 2 decimal places. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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