Trigonometric expressions Questions with solutions

Trigonometric ratios

Evaluate $\sin{30^\circ}\cos{30^\circ}$

Evaluate $\csc^2{60^\circ}$ $-$ $\tan^2{30^\circ}$

Evaluate $\cos^2{60^\circ}$ $+$ $\sec^2{30^\circ}$ $+$ $\tan^2{45^\circ}$

Trigonometric functions

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

Evaluate $\dfrac{1+\sin{x}}{\cos{x}}$ $+$ $\dfrac{\cos{x}}{1+\sin{x}}$

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