Trigonometric ratios of Standard angles Expressions Questions and solutions

The expressions are formed by the trigonometric ratios of standard angles in some trigonometry problems. The trigonometric ratios of standard angles worksheet is given here with understandable examples and answers for practice and, also solutions to learn how to evaluate the trigonometric expressions that consist of trigonometric ratios in standard angles by simplifying.

Evaluate $\sin{45^\circ}\cos{45^\circ}\tan{45^\circ}$

Evaluate $\cos^2{60^\circ}$ $+$ $\sin^2{30^\circ}$

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

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

Evaluate $\tan{30^\circ}\tan{60^\circ}$

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

Evaluate $\sin^2{30^\circ}$ $+$ $\cos^2{30^\circ}$ $+$ $\cot^2{45^\circ}$