Basic trigonometry problems and solutions

Evaluate $\sin^4{x}$ $+$ $2\sin^2{x}\bigg(1-\dfrac{1}{\csc^2{x}}\bigg)$ $+$ $\cos^4{x}$

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Evaluate $\displaystyle \large \lim_{x\,\to\,0}{\normalsize \dfrac{\sin{5x}-\sin{3x}}{x}}$ by L'Hospital's Rule

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