$(1).\,\,$ Evaluate $\sin{45^\circ}\cos{45^\circ}\tan{45^\circ}$

$(2).\,\,$ Evaluate $\sin{(x+60^\circ)}$ $-$ $\cos{(x+30^\circ)}$

$(3).\,\,$ Evaluate $(\sec{x}+\tan{x})$ $\bigg(\dfrac{1-\sin{x}}{\cos{x}}\bigg)$

The list of questions on simplifying the trigonometric expressions for your practice and solutions to learn how to evaluate the trigonometric expressions by using the identities.

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